Ternary quadratic forms over number fields with small class number
M. Kirschmer, D. Lorch, Journal of Number Theory 161 (2016) 343–361.
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| English
Author
Kirschmer, MarkusLibreCat;
Lorch, David
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Abstract
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.
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Journal Title
Journal of Number Theory
Volume
161
Page
343-361
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LibreCat-ID
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Kirschmer M, Lorch D. Ternary quadratic forms over number fields with small class number. Journal of Number Theory. 2016;161:343-361. doi:10.1016/j.jnt.2014.11.001
Kirschmer, M., & Lorch, D. (2016). Ternary quadratic forms over number fields with small class number. Journal of Number Theory, 161, 343–361. https://doi.org/10.1016/j.jnt.2014.11.001
@article{Kirschmer_Lorch_2016, title={Ternary quadratic forms over number fields with small class number}, volume={161}, DOI={10.1016/j.jnt.2014.11.001}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus and Lorch, David}, year={2016}, pages={343–361} }
Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” Journal of Number Theory 161 (2016): 343–61. https://doi.org/10.1016/j.jnt.2014.11.001.
M. Kirschmer and D. Lorch, “Ternary quadratic forms over number fields with small class number,” Journal of Number Theory, vol. 161, pp. 343–361, 2016, doi: 10.1016/j.jnt.2014.11.001.
Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” Journal of Number Theory, vol. 161, Elsevier BV, 2016, pp. 343–61, doi:10.1016/j.jnt.2014.11.001.
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