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arXiv · 2008.08568

Small solutions of quadratic forms with congruence conditions

Prasuna Bandi·Anish Ghosh
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Abstract

We consider a system of homogeneous quadratic forms with congruence conditions in $n\geq 3$ variables and prove the existence of two linearly independent integral solutions of bounded height. We also show the existence of small height integral zeros of this system avoiding a given set of hyperplanes.

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Prasuna Bandi, Anish Ghosh. 2020-08-19. Small solutions of quadratic forms with congruence conditions. https://arxiv.org/abs/2008.08568

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