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Goerigk, and Klaus Huber. “Shrinking of Anionic Polyacrylate Coils Induced by Ca2+, Sr2+ and Ba2+: A Combined Light Scattering and ASAXS Study.” <i>The European Physical Journal E</i> 21, no. 2 (2006): 99–110. <a href=\"https://doi.org/10.1140/epje/i2006-10047-7\">https://doi.org/10.1140/epje/i2006-10047-7</a>.","short":"R. Schweins, G. Goerigk, K. Huber, The European Physical Journal E 21 (2006) 99–110.","apa":"Schweins, R., Goerigk, G., &#38; Huber, K. (2006). Shrinking of anionic polyacrylate coils induced by Ca2+, Sr2+ and Ba2+: A combined light scattering and ASAXS study. <i>The European Physical Journal E</i>, <i>21</i>(2), 99–110. <a href=\"https://doi.org/10.1140/epje/i2006-10047-7\">https://doi.org/10.1140/epje/i2006-10047-7</a>","ieee":"R. Schweins, G. Goerigk, and K. Huber, “Shrinking of anionic polyacrylate coils induced by Ca2+, Sr2+ and Ba2+: A combined light scattering and ASAXS study,” <i>The European Physical Journal E</i>, vol. 21, no. 2, pp. 99–110, 2006, doi: <a href=\"https://doi.org/10.1140/epje/i2006-10047-7\">10.1140/epje/i2006-10047-7</a>."},"status":"public","page":"99-110","_id":"42008","publisher":"Springer Science and Business Media LLC","user_id":"237","volume":21,"publication":"The European Physical Journal E","issue":"2","date_created":"2023-02-10T14:50:17Z","keyword":["Surfaces and Interfaces","General Materials Science","General Chemistry","Biophysics","Biotechnology"],"type":"journal_article","department":[{"_id":"314"}],"year":"2006","title":"Shrinking of anionic polyacrylate coils induced by Ca2+, Sr2+ and Ba2+: A combined light scattering and ASAXS study","author":[{"last_name":"Schweins","first_name":"R.","full_name":"Schweins, R."},{"last_name":"Goerigk","first_name":"G.","full_name":"Goerigk, G."},{"id":"237","last_name":"Huber","first_name":"Klaus","full_name":"Huber, Klaus"}],"publication_identifier":{"issn":["1292-8941","1292-895X"]},"publication_status":"published","date_updated":"2023-02-10T15:03:34Z","intvolume":"        21","language":[{"iso":"eng"}],"doi":"10.1140/epje/i2006-10047-7"},{"date_updated":"2023-02-23T11:26:46Z","intvolume":"        59","year":"2006","status":"public","title":"Hans Werner Henze. 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Counting nilpotent Galois extensions. <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2004</i>(572), 1–26. <a href=\"https://doi.org/10.1515/crll.2004.050\">https://doi.org/10.1515/crll.2004.050</a>","bibtex":"@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions}, volume={2004}, DOI={<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>}, number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle, G.}, year={2006}, pages={1–26} }","ama":"Klüners J, Malle G. Counting nilpotent Galois extensions. <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>. 2006;2004(572):1-26. doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>","mla":"Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no. 572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>."},"language":[{"iso":"eng"}],"doi":"10.1515/crll.2004.050","title":"Counting nilpotent Galois extensions","year":"2006","publication_identifier":{"issn":["0075-4102","1435-5345"]},"author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"},{"full_name":"Malle, G.","first_name":"G.","last_name":"Malle"}],"date_updated":"2023-03-06T09:11:16Z","publication_status":"published","intvolume":"      2004","date_created":"2022-12-23T09:50:49Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"department":[{"_id":"102"}],"issue":"572","publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","abstract":[{"text":"We obtain strong information on the asymptotic behaviour of the counting function for nilpotent Galois extensions with bounded discriminant of arbitrary number fields. This extends previous investigations for the case of abelian groups. In particular, the result confirms a conjecture by the second author on this function for arbitrary groups in the nilpotent case. We further prove compatibility of the conjecture with taking wreath products with the cyclic group of order 2 and give examples in degree up to 8. ","lang":"eng"}]},{"issue":"3","publication":"Journal de Théorie des Nombres de Bordeaux","abstract":[{"lang":"eng","text":"We study the asymptotics conjecture of Malle for dihedral groups Dℓ of order 2ℓ, where ℓ is an odd prime. We prove the expected lower bound for those groups. For the upper bounds we show that there is a connection to class groups of quadratic number fields. The asymptotic behavior of those class groups is predicted by the Cohen--Lenstra heuristics. Under the assumption of this heuristic we are able to prove the expected upper bounds. 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Klüners, “Asymptotics of number fields and the Cohen–Lenstra heuristics,” <i>Journal de Théorie des Nombres de Bordeaux</i>, vol. 18, no. 3, pp. 607–615, 2006, doi: <a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>.","chicago":"Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.” <i>Journal de Théorie Des Nombres de Bordeaux</i> 18, no. 3 (2006): 607–15. <a href=\"https://doi.org/10.5802/jtnb.561\">https://doi.org/10.5802/jtnb.561</a>.","short":"J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.","mla":"Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.” <i>Journal de Théorie Des Nombres de Bordeaux</i>, vol. 18, no. 3, Cellule MathDoc/CEDRAM, 2006, pp. 607–15, doi:<a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>.","ama":"Klüners J. Asymptotics of number fields and the Cohen–Lenstra heuristics. <i>Journal de Théorie des Nombres de Bordeaux</i>. 2006;18(3):607-615. doi:<a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>","bibtex":"@article{Klüners_2006, title={Asymptotics of number fields and the Cohen–Lenstra heuristics}, volume={18}, DOI={<a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>}, number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Klüners, Jürgen}, year={2006}, pages={607–615} }"},"external_id":{"arxiv":["math/0512260 "]},"status":"public","publisher":"Cellule MathDoc/CEDRAM","_id":"34891","page":"607-615","volume":18,"user_id":"93826"},{"issue":"3","publication":"Inventiones mathematicae","abstract":[{"text":"We prove that the 4-rank of class groups of quadratic number fields behaves as predicted in an extension due to Gerth of the Cohen–Lenstra heuristics. ","lang":"eng"}],"related_material":{"link":[{"relation":"confirmation","url":"https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/ranks.pdf"}]},"date_created":"2022-12-23T09:36:15Z","department":[{"_id":"102"}],"keyword":["General Mathematics"],"type":"journal_article","author":[{"last_name":"Fouvry","first_name":"Étienne","full_name":"Fouvry, Étienne"},{"full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen","id":"21202"}],"publication_identifier":{"issn":["0020-9910","1432-1297"]},"year":"2006","title":"On the 4-rank of class groups of quadratic number fields","intvolume":"       167","publication_status":"published","date_updated":"2023-03-06T09:12:30Z","language":[{"iso":"eng"}],"doi":"10.1007/s00222-006-0021-2","citation":{"short":"É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic Number Fields.” <i>Inventiones Mathematicae</i> 167, no. 3 (2006): 455–513. <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">https://doi.org/10.1007/s00222-006-0021-2</a>.","ieee":"É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number fields,” <i>Inventiones mathematicae</i>, vol. 167, no. 3, pp. 455–513, 2006, doi: <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>.","apa":"Fouvry, É., &#38; Klüners, J. (2006). On the 4-rank of class groups of quadratic number fields. <i>Inventiones Mathematicae</i>, <i>167</i>(3), 455–513. <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">https://doi.org/10.1007/s00222-006-0021-2</a>","bibtex":"@article{Fouvry_Klüners_2006, title={On the 4-rank of class groups of quadratic number fields}, volume={167}, DOI={<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>}, number={3}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006}, pages={455–513} }","ama":"Fouvry É, Klüners J. On the 4-rank of class groups of quadratic number fields. <i>Inventiones mathematicae</i>. 2006;167(3):455-513. doi:<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>","mla":"Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic Number Fields.” <i>Inventiones Mathematicae</i>, vol. 167, no. 3, Springer Science and Business Media LLC, 2006, pp. 455–513, doi:<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>."},"status":"public","_id":"34890","publisher":"Springer Science and Business Media LLC","page":"455-513","volume":167,"user_id":"93826"},{"department":[{"_id":"102"}],"type":"book_chapter","place":"Berlin, Heidelberg","date_created":"2023-01-11T09:46:47Z","abstract":[{"text":"We establish a link between some heuristic asymptotic formulas (due to Cohen and Lenstra) concerning the moments of the p–part of the class groups of quadratic fields and formulas giving the frequency of the values of the p–rank of these class groups.","lang":"eng"}],"related_material":{"link":[{"url":"https://www.researchgate.net/profile/Juergen-Klueners/publication/221451567_Cohen-Lenstra_Heuristics_of_Quadratic_Number_Fields/links/0a85e53298eaed8777000000/Cohen-Lenstra-Heuristics-of-Quadratic-Number-Fields.pdf?origin=publication_detail","relation":"confirmation"}]},"citation":{"apa":"Fouvry, É., &#38; Klüners, J. (2006). Cohen–Lenstra Heuristics of Quadratic Number Fields. In <i>Lecture Notes in Computer Science</i>. Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/11792086_4\">https://doi.org/10.1007/11792086_4</a>","ieee":"É. Fouvry and J. Klüners, “Cohen–Lenstra Heuristics of Quadratic Number Fields,” in <i>Lecture Notes in Computer Science</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “Cohen–Lenstra Heuristics of Quadratic Number Fields.” In <i>Lecture Notes in Computer Science</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. <a href=\"https://doi.org/10.1007/11792086_4\">https://doi.org/10.1007/11792086_4</a>.","short":"É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.","mla":"Fouvry, Étienne, and Jürgen Klüners. “Cohen–Lenstra Heuristics of Quadratic Number Fields.” <i>Lecture Notes in Computer Science</i>, Springer Berlin Heidelberg, 2006, doi:<a href=\"https://doi.org/10.1007/11792086_4\">10.1007/11792086_4</a>.","ama":"Fouvry É, Klüners J. Cohen–Lenstra Heuristics of Quadratic Number Fields. In: <i>Lecture Notes in Computer Science</i>. Springer Berlin Heidelberg; 2006. doi:<a href=\"https://doi.org/10.1007/11792086_4\">10.1007/11792086_4</a>","bibtex":"@inbook{Fouvry_Klüners_2006, place={Berlin, Heidelberg}, title={Cohen–Lenstra Heuristics of Quadratic Number Fields}, DOI={<a href=\"https://doi.org/10.1007/11792086_4\">10.1007/11792086_4</a>}, booktitle={Lecture Notes in Computer Science}, publisher={Springer Berlin Heidelberg}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006} }"},"publication":"Lecture Notes in Computer Science","doi":"10.1007/11792086_4","user_id":"93826","language":[{"iso":"eng"}],"_id":"35958","publisher":"Springer Berlin Heidelberg","date_updated":"2023-03-06T09:13:15Z","publication_status":"published","author":[{"last_name":"Fouvry","first_name":"Étienne","full_name":"Fouvry, Étienne"},{"full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen","id":"21202"}],"publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783540360759","9783540360766"]},"status":"public","title":"Cohen–Lenstra Heuristics of Quadratic Number Fields","year":"2006"},{"citation":{"ieee":"J. Klüners, “The number of S₄-fields with given discriminant,” <i>Acta Arithmetica</i>, vol. 122, no. 2, pp. 185–194, 2006, doi: <a href=\"https://doi.org/10.4064/aa122-2-3\">10.4064/aa122-2-3</a>.","apa":"Klüners, J. (2006). The number of S₄-fields with given discriminant. <i>Acta Arithmetica</i>, <i>122</i>(2), 185–194. <a href=\"https://doi.org/10.4064/aa122-2-3\">https://doi.org/10.4064/aa122-2-3</a>","chicago":"Klüners, Jürgen. “The Number of S₄-Fields with given Discriminant.” <i>Acta Arithmetica</i> 122, no. 2 (2006): 185–94. <a href=\"https://doi.org/10.4064/aa122-2-3\">https://doi.org/10.4064/aa122-2-3</a>.","short":"J. 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