{"citation":{"short":"M. Kirschmer, D. Lorch, Journal of Number Theory 161 (2016) 343–361.","chicago":"Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” <i>Journal of Number Theory</i> 161 (2016): 343–61. <a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">https://doi.org/10.1016/j.jnt.2014.11.001</a>.","ieee":"M. Kirschmer and D. Lorch, “Ternary quadratic forms over number fields with small class number,” <i>Journal of Number Theory</i>, vol. 161, pp. 343–361, 2016, doi: <a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>.","apa":"Kirschmer, M., &#38; Lorch, D. (2016). Ternary quadratic forms over number fields with small class number. <i>Journal of Number Theory</i>, <i>161</i>, 343–361. <a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">https://doi.org/10.1016/j.jnt.2014.11.001</a>","bibtex":"@article{Kirschmer_Lorch_2016, title={Ternary quadratic forms over number fields with small class number}, volume={161}, DOI={<a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus and Lorch, David}, year={2016}, pages={343–361} }","ama":"Kirschmer M, Lorch D. Ternary quadratic forms over number fields with small class number. <i>Journal of Number Theory</i>. 2016;161:343-361. doi:<a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>","mla":"Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” <i>Journal of Number Theory</i>, vol. 161, Elsevier BV, 2016, pp. 343–61, doi:<a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>."},"status":"public","page":"343-361","_id":"42792","publisher":"Elsevier BV","user_id":"93826","volume":161,"publication":"Journal of Number Theory","extern":"1","abstract":[{"lang":"eng","text":"We enumerate all positive definite ternary quadratic forms over number fields with class number at most 2. This is done by constructing all definite quaternion orders of type number at most 2 over number fields. Finally, we list all definite quaternion orders of ideal class number 1 or 2."}],"date_created":"2023-03-07T08:28:46Z","keyword":["Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"102"}],"title":"Ternary quadratic forms over number fields with small class number","year":"2016","author":[{"id":"82258","full_name":"Kirschmer, Markus","last_name":"Kirschmer","first_name":"Markus"},{"full_name":"Lorch, David","first_name":"David","last_name":"Lorch"}],"publication_identifier":{"issn":["0022-314X"]},"publication_status":"published","date_updated":"2023-04-04T09:10:42Z","intvolume":"       161","language":[{"iso":"eng"}],"doi":"10.1016/j.jnt.2014.11.001"}