Near-miss Identities and Spinor Genus Classification of Ternary Quadratic Forms with Congruence Conditions

Kush Singhal

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arXiv · 2104.08798

Near-miss Identities and Spinor Genus Classification of Ternary Quadratic Forms with Congruence Conditions

Kush Singhal

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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.

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Kush Singhal. 2021-04-18. Near-miss Identities and Spinor Genus Classification of Ternary Quadratic Forms with Congruence Conditions. https://arxiv.org/abs/2104.08798

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