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Weber, M.I. Rafsan Jani, M. Grabo, O. Wallscheid, T. Klaus, S. Krauter, J. Böcker, in: World Conference on Photovoltaic Energy Conversion (WCPEC-7), 45th IEEE PVSC, 28th PVSEC, 34th EU PVSEC., Waikoloa Village, Big Island, Hawaii (USA), 2018.","apa":"Weber, D., Rafsan Jani, M. I., Grabo, M., Wallscheid, O., Klaus, T., Krauter, S., &#38; Böcker, J. (2018). Lifetime Extension of Photovoltaic Modules by Influencing the Module Temperature Using Phase Change Material. <i>World Conference on Photovoltaic Energy Conversion (WCPEC-7), 45th IEEE PVSC, 28th PVSEC, 34th EU PVSEC.</i> World Conference on Photovoltaic Energy Conversion (WCPEC-7), 45th IEEE PVSC, 28th PVSEC, 34th EU PVSEC, Waikoloa Village, Big Island, Hawaii (USA). <a href=\"https://doi.org/ 10.1109/PVSC.2018.8548115\">https://doi.org/ 10.1109/PVSC.2018.8548115</a>","ama":"Weber D, Rafsan Jani MI, Grabo M, et al. Lifetime Extension of Photovoltaic Modules by Influencing the Module Temperature Using Phase Change Material. In: <i>World Conference on Photovoltaic Energy Conversion (WCPEC-7), 45th IEEE PVSC, 28th PVSEC, 34th EU PVSEC.</i> ; 2018. doi:<a href=\"https://doi.org/ 10.1109/PVSC.2018.8548115\"> 10.1109/PVSC.2018.8548115</a>","ieee":"D. Weber <i>et al.</i>, “Lifetime Extension of Photovoltaic Modules by Influencing the Module Temperature Using Phase Change Material,” presented at the World Conference on Photovoltaic Energy Conversion (WCPEC-7), 45th IEEE PVSC, 28th PVSEC, 34th EU PVSEC, Waikoloa Village, Big Island, Hawaii (USA), 2018, doi: <a href=\"https://doi.org/ 10.1109/PVSC.2018.8548115\"> 10.1109/PVSC.2018.8548115</a>.","chicago":"Weber, Daniel, Mohammad Iffat Rafsan Jani, Matti Grabo, Oliver Wallscheid, Tobias Klaus, Stefan Krauter, and Joachim Böcker. “Lifetime Extension of Photovoltaic Modules by Influencing the Module Temperature Using Phase Change Material.” In <i>World Conference on Photovoltaic Energy Conversion (WCPEC-7), 45th IEEE PVSC, 28th PVSEC, 34th EU PVSEC.</i> Waikoloa Village, Big Island, Hawaii (USA), 2018. <a href=\"https://doi.org/ 10.1109/PVSC.2018.8548115\">https://doi.org/ 10.1109/PVSC.2018.8548115</a>."},"quality_controlled":"1","language":[{"iso":"eng"}],"_id":"6523","user_id":"66520","department":[{"_id":"34"},{"_id":"52"},{"_id":"53"},{"_id":"9"},{"_id":"145"}],"status":"public","type":"conference","publication":"World Conference on Photovoltaic Energy Conversion (WCPEC-7), 45th IEEE PVSC, 28th PVSEC, 34th EU PVSEC."},{"publication_identifier":{"unknown":["2194-6175"]},"quality_controlled":"1","issue":"2","year":"2018","intvolume":"         8","page":"1-11","citation":{"apa":"Fust, A. P., Jenert, T., &#38; Winkler, C. (2018). Experiential or Self-Regulated Learning: A Critical Reflection of Entrepreneurial Learning Processes. <i>Entrepreneurship Research Journal</i>, <i>8</i>(2), 1–11.","short":"A.P. Fust, T. Jenert, C. Winkler, Entrepreneurship Research Journal 8 (2018) 1–11.","bibtex":"@article{Fust_Jenert_Winkler_2018, title={Experiential or Self-Regulated Learning: A Critical Reflection of Entrepreneurial Learning Processes}, volume={8}, number={2}, journal={Entrepreneurship Research Journal}, publisher={de @Gruyter}, author={Fust, Alexander Paul and Jenert, Tobias and Winkler, Christoph}, year={2018}, pages={1–11} }","mla":"Fust, Alexander Paul, et al. “Experiential or Self-Regulated Learning: A Critical Reflection of Entrepreneurial Learning Processes.” <i>Entrepreneurship Research Journal</i>, vol. 8, no. 2, de @Gruyter, 2018, pp. 1–11.","chicago":"Fust, Alexander Paul, Tobias Jenert, and Christoph Winkler. “Experiential or Self-Regulated Learning: A Critical Reflection of Entrepreneurial Learning Processes.” <i>Entrepreneurship Research Journal</i> 8, no. 2 (2018): 1–11.","ieee":"A. P. Fust, T. Jenert, and C. 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Experiential or Self-Regulated Learning: A Critical Reflection of Entrepreneurial Learning Processes. <i>Entrepreneurship Research Journal</i>. 2018;8(2):1-11."},"date_updated":"2024-03-21T14:43:08Z","publisher":"de @Gruyter","volume":8,"date_created":"2018-09-18T08:47:00Z","author":[{"first_name":"Alexander Paul","last_name":"Fust","full_name":"Fust, Alexander Paul"},{"first_name":"Tobias","full_name":"Jenert, Tobias","id":"71994","last_name":"Jenert","orcid":" https://orcid.org/0000-0001-9262-5646"},{"first_name":"Christoph","full_name":"Winkler, Christoph","last_name":"Winkler"}],"title":"Experiential or Self-Regulated Learning: A Critical Reflection of Entrepreneurial Learning Processes","publication":"Entrepreneurship Research Journal","type":"journal_article","abstract":[{"lang":"eng","text":"Research on entrepreneurial learning highlights the importance of experience and prior knowledge to entrepreneurial success. However, a conundrum remains and we are still seeking answers as to why some novice entrepreneurs learn successfully from their experiences and succeed, while some experienced entrepreneurs fail with their ventures. In order to advance the discussion about the role of experience during entrepreneurial learning, our critical reflection aims to (1) highlight some of the shortcomings of experiential learning theory (ELT) and (2) illustrate how alternative theoretical perspectives have the potential to advance our conceptual understanding of entrepreneurial learning processes. We argue for an explanation of entrepreneurial learning as a dynamic and self-regulated process that relies on planning, monitoring, and self-reflection."}],"status":"public","_id":"4419","department":[{"_id":"208"},{"_id":"282"}],"user_id":"71994","keyword":["entrepreneurial learning","experiential learning","self-regulated learning"],"language":[{"iso":"eng"}]},{"conference":{"end_date":"2018-08-14","location":"Chicago","name":"78th Annual Meeting of the Academy of Management","start_date":"2018-08-10"},"title":"Developing Undergraduate Management Students‘ Reflection Capabilities, Academy of Management Proceedings","author":[{"orcid":" https://orcid.org/0000-0001-9262-5646","last_name":"Jenert","full_name":"Jenert, Tobias","id":"71994","first_name":"Tobias"},{"first_name":"Taiga","full_name":"Brahm, Taiga","last_name":"Brahm"}],"date_created":"2018-09-20T09:31:21Z","date_updated":"2024-03-21T14:37:29Z","citation":{"ama":"Jenert T, Brahm T. Developing Undergraduate Management Students‘ Reflection Capabilities, Academy of Management Proceedings. In: ; 2018.","ieee":"T. Jenert and T. Brahm, “Developing Undergraduate Management Students‘ Reflection Capabilities, Academy of Management Proceedings,” presented at the 78th Annual Meeting of the Academy of Management, Chicago, 2018.","chicago":"Jenert, Tobias, and Taiga Brahm. “Developing Undergraduate Management Students‘ Reflection Capabilities, Academy of Management Proceedings,” 2018.","short":"T. Jenert, T. Brahm, in: 2018.","mla":"Jenert, Tobias, and Taiga Brahm. <i>Developing Undergraduate Management Students‘ Reflection Capabilities, Academy of Management Proceedings</i>. 2018.","bibtex":"@inproceedings{Jenert_Brahm_2018, title={Developing Undergraduate Management Students‘ Reflection Capabilities, Academy of Management Proceedings}, author={Jenert, Tobias and Brahm, Taiga}, year={2018} }","apa":"Jenert, T., &#38; Brahm, T. (2018). <i>Developing Undergraduate Management Students‘ Reflection Capabilities, Academy of Management Proceedings</i>. 78th Annual Meeting of the Academy of Management, Chicago."},"year":"2018","quality_controlled":"1","language":[{"iso":"eng"}],"department":[{"_id":"208"},{"_id":"282"}],"user_id":"71994","_id":"4537","status":"public","type":"conference"},{"date_updated":"2024-03-21T14:34:38Z","date_created":"2019-03-19T07:34:10Z","author":[{"last_name":"Jenert","orcid":" https://orcid.org/0000-0001-9262-5646","full_name":"Jenert, Tobias","id":"71994","first_name":"Tobias"},{"full_name":"Brahm , Taiga ","last_name":"Brahm ","first_name":"Taiga "}],"title":"Fostering pre-service economics teachers´ reflection on their attitudes towards the discipline","conference":{"start_date":"2018-08-12","name":"EARLI Biennial Conference","location":"Aachen ","end_date":"2018-08-16"},"quality_controlled":"1","year":"2018","citation":{"ieee":"T. Jenert and T. 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Ziele und Möglichkeiten der Weiterbildung pädagogischer Hochschulentwickler*innen am Beispiel ‚Lehren‘. In <i>Blickpunkt Hochschuldidaktik</i>.","bibtex":"@inbook{Jenert_Gommers, title={Ziele und Möglichkeiten der Weiterbildung pädagogischer Hochschulentwickler*innen am Beispiel ‚Lehren‘}, booktitle={Blickpunkt Hochschuldidaktik}, author={Jenert, Tobias and Gommers, Luci} }","mla":"Jenert, Tobias, and Luci Gommers. “Ziele Und Möglichkeiten Der Weiterbildung Pädagogischer Hochschulentwickler*innen Am Beispiel ‚Lehren‘.” <i>Blickpunkt Hochschuldidaktik</i>.","short":"T. Jenert, L. Gommers, in: Blickpunkt Hochschuldidaktik, n.d.","chicago":"Jenert, Tobias, and Luci Gommers. “Ziele Und Möglichkeiten Der Weiterbildung Pädagogischer Hochschulentwickler*innen Am Beispiel ‚Lehren‘.” In <i>Blickpunkt Hochschuldidaktik</i>, n.d.","ieee":"T. Jenert and L. 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In: <i>Blickpunkt Hochschuldidaktik</i>."},"quality_controlled":"1","publication_status":"inpress"},{"language":[{"iso":"eng"}],"_id":"4538","department":[{"_id":"208"},{"_id":"282"}],"user_id":"71994","status":"public","type":"conference","title":"The Role of Diversity for the Transition to Higher Education","conference":{"start_date":"2018-08-29","name":"EARLI SIG4 Higher Education","location":"Gießen","end_date":"2018-08-31"},"date_updated":"2024-03-21T14:38:21Z","author":[{"first_name":"Tobias","orcid":" https://orcid.org/0000-0001-9262-5646","last_name":"Jenert","id":"71994","full_name":"Jenert, Tobias"},{"last_name":"Brahm","full_name":"Brahm, Taiga","first_name":"Taiga"}],"date_created":"2018-09-20T09:33:36Z","year":"2018","citation":{"bibtex":"@inproceedings{Jenert_Brahm_2018, title={The Role of Diversity for the Transition to Higher Education}, author={Jenert, Tobias and Brahm, Taiga}, year={2018} }","mla":"Jenert, Tobias, and Taiga Brahm. <i>The Role of Diversity for the Transition to Higher Education</i>. 2018.","short":"T. 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IEEE, 2018. <a href=\"https://doi.org/10.1109/itec.2018.8450250\">https://doi.org/10.1109/itec.2018.8450250</a>.","ieee":"S. Urbanek <i>et al.</i>, “Additive Manufacturing of a Soft Magnetic Rotor Active Part and Shaft for a Permanent Magnet Synchronous Machine,” 2018, doi: <a href=\"https://doi.org/10.1109/itec.2018.8450250\">10.1109/itec.2018.8450250</a>.","ama":"Urbanek S, Ponick B, Taube A, et al. Additive Manufacturing of a Soft Magnetic Rotor Active Part and Shaft for a Permanent Magnet Synchronous Machine. In: <i>2018 IEEE Transportation Electrification Conference and Expo (ITEC)</i>. 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Köhler, Tobias Lieneke, and Detmar Zimmer. “Erarbeitung von Konstruktionsregeln für Hybridbauteile: Integration von metallischen Einlegern in FDM-Strukturen.” <i>Konstruktion</i> 70. Jg. Heft 10 (2018): 83–88.","ama":"Schöppner V, Knoop F, Köhler M, Lieneke T, Zimmer D. Erarbeitung von Konstruktionsregeln für Hybridbauteile: Integration von metallischen Einlegern in FDM-Strukturen. <i>Konstruktion</i>. 2018;70. Jg. Heft 10:83-88."},"publication_identifier":{"issn":["0720-5953"]}},{"publication_identifier":{"unknown":["0023-5563"]},"year":"2018","citation":{"bibtex":"@article{Schöppner_Zimmer_Knoop_Lieneke_2018, title={Additive Fertigung nach Maß}, volume={108. Jg. Heft 6}, journal={Kunststoffe}, author={Schöppner, Volker and Zimmer, Detmar and Knoop, Frederick and Lieneke, Tobias}, year={2018} }","mla":"Schöppner, Volker, et al. “Additive Fertigung nach Maß.” <i>Kunststoffe</i>, vol. 108. Jg. Heft 6, 2018.","short":"V. Schöppner, D. Zimmer, F. Knoop, T. Lieneke, Kunststoffe 108. Jg. 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Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>. 2018;35(3):1093-1112. doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>","chicago":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i> 35, no. 3 (2018): 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>.","ieee":"B. Kovács, “Computing arbitrary Lagrangian Eulerian maps for evolving surfaces,” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, pp. 1093–1112, 2018, doi: <a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>.","short":"B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018) 1093–1112.","bibtex":"@article{Kovács_2018, title={Computing arbitrary Lagrangian Eulerian maps for evolving surfaces}, volume={35}, DOI={<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>}, number={3}, journal={Numerical Methods for Partial Differential Equations}, publisher={Wiley}, author={Kovács, Balázs}, year={2018}, pages={1093–1112} }","mla":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, Wiley, 2018, pp. 1093–112, doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>.","apa":"Kovács, B. (2018). Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>, <i>35</i>(3), 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>"},"page":"1093-1112","intvolume":"        35","_id":"45951","user_id":"100441","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Numerical Methods for Partial Differential Equations","status":"public"},{"year":"2018","intvolume":"       382","citation":{"ieee":"D. Köchling, <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>, vol. 382. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018.","chicago":"Köchling, Daniel. <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>. Vol. 382. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018.","ama":"Köchling D. <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>. Vol 382. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382; 2018.","apa":"Köchling, D. (2018). <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i> (Vol. 382). Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382.","mla":"Köchling, Daniel. <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018.","bibtex":"@book{Köchling_2018, title={Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme}, volume={382}, publisher={Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382}, author={Köchling, Daniel}, year={2018} }","short":"D. Köchling, Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme, Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018."},"title":"Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme","date_updated":"2024-04-03T10:39:17Z","publisher":"Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382","volume":382,"author":[{"first_name":"Daniel","last_name":"Köchling","full_name":"Köchling, Daniel"}],"date_created":"2021-11-04T13:40:53Z","status":"public","type":"dissertation","language":[{"iso":"ger"}],"_id":"27156","department":[{"_id":"26"}],"user_id":"5786"},{"date_created":"2024-04-03T16:58:26Z","publisher":"American Mathematical Society (AMS)","title":"On period relations for automorphic 𝐿-functions I","issue":"9","year":"2018","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"publication":"Transactions of the American Mathematical Society","abstract":[{"text":"<p>This paper is the first in a series of two dedicated to the study of period relations of the type <disp-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L left-parenthesis one half plus k comma normal upper Pi right-parenthesis element-of left-parenthesis 2 pi i right-parenthesis Superscript d dot k Baseline normal upper Omega Subscript left-parenthesis negative 1 right-parenthesis Sub Superscript k Subscript Baseline reverse-solidus bf upper Q left-parenthesis normal upper Pi right-parenthesis comma one half plus k critical comma\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>L</mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">(</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">)</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo>∈<!-- ∈ --></mml:mo>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>π<!-- π --></mml:mi>\r\n      <mml:mi>i</mml:mi>\r\n      <mml:msup>\r\n        <mml:mo stretchy=\"false\">)</mml:mo>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mi>d</mml:mi>\r\n          <mml:mo>⋅<!-- ⋅ --></mml:mo>\r\n          <mml:mi>k</mml:mi>\r\n        </mml:mrow>\r\n      </mml:msup>\r\n      <mml:msub>\r\n        <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo stretchy=\"false\">(</mml:mo>\r\n          <mml:mo>−<!-- − --></mml:mo>\r\n          <mml:mn>1</mml:mn>\r\n          <mml:msup>\r\n            <mml:mo stretchy=\"false\">)</mml:mo>\r\n            <mml:mi>k</mml:mi>\r\n          </mml:msup>\r\n        </mml:mrow>\r\n      </mml:msub>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mtext>\\bf Q</mml:mtext>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mspace width=\"1em\" />\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mtext>critical</mml:mtext>\r\n      <mml:mo>,</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">\\begin{equation*} L\\Big (\\frac {1}{2}+k,\\Pi \\Big )\\;\\in \\;(2\\pi i)^{d\\cdot k}\\Omega _{(-1)^k}\\textrm {\\bf Q}(\\Pi ),\\quad \\frac {1}{2}+k\\;\\text {critical}, \\end{equation*}</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</disp-formula>\r\n for certain automorphic representations <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> of a reductive group <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G.</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> In this paper we discuss the case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis n plus 1 right-parenthesis times normal upper G normal upper L left-parenthesis n right-parenthesis period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mn>1</mml:mn>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>×<!-- × --></mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(n+1)\\times \\mathrm {GL}(n).</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> The case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis 2 n right-parenthesis\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(2n)</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> is discussed in part two. Our method is representation theoretic and relies on the author’s recent results on global rational structures on automorphic representations. We show that the above period relations are intimately related to the field of definition of the global representation <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> under consideration. The new period relations we prove are in accordance with Deligne’s Conjecture on special values of <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\">\r\n  <mml:semantics>\r\n    <mml:mi>L</mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">L</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>-functions, and the author expects this method to apply to other cases as well.</p>","lang":"eng"}],"author":[{"full_name":"Januszewski, Fabian","id":"81636","last_name":"Januszewski","orcid":"0000-0002-3184-237X","first_name":"Fabian"}],"volume":371,"date_updated":"2024-04-03T17:26:38Z","doi":"10.1090/tran/7527","publication_status":"published","publication_identifier":{"issn":["0002-9947","1088-6850"]},"citation":{"chicago":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i> 371, no. 9 (2018): 6547–80. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>.","ieee":"F. Januszewski, “On period relations for automorphic 𝐿-functions I,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, pp. 6547–6580, 2018, doi: <a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","ama":"Januszewski F. On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>. 2018;371(9):6547-6580. doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>","mla":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, American Mathematical Society (AMS), 2018, pp. 6547–80, doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","bibtex":"@article{Januszewski_2018, title={On period relations for automorphic 𝐿-functions I}, volume={371}, DOI={<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>}, number={9}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Januszewski, Fabian}, year={2018}, pages={6547–6580} }","short":"F. Januszewski, Transactions of the American Mathematical Society 371 (2018) 6547–6580.","apa":"Januszewski, F. (2018). On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>, <i>371</i>(9), 6547–6580. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>"},"page":"6547-6580","intvolume":"       371","user_id":"81636","_id":"53191","extern":"1","article_type":"original","type":"journal_article","status":"public"}]