Near-miss identities and spinor genus classification of ternary quadratic forms with congruence conditions

IF 0.5 3区数学 Q3 MATHEMATICS

International Journal of Number Theory Pub Date : 2024-04-27 DOI:10.1142/s1793042124500507

Kush Singhal

引用次数: 0

Abstract

In this paper, near-miss identities for the number of representations of some integral ternary quadratic forms with congruence conditions are found and proven. The genus and spinor genus of the corresponding lattice cosets are then classified. Finally, a complete genus and spinor genus classification for all conductor 2 lattice cosets of 2-adically unimodular lattices is given.

查看原文本刊更多论文

具有全等条件的三元二次型的近似等式和旋量属分类

本文发现并证明了一些具有全等条件的积分三元二次型的表示数的近似等式。然后对相应晶格余弦的属和旋子属进行了分类。最后，给出了所有导体 2 的 2-adically unimodular 晶格余集的属和旋量属的完整分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

International Journal of Number Theory 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

4-8 weeks

期刊介绍： This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.