Small solutions of quadratic forms with congruence conditions

Bandi, Prasuna ; Ghosh, Anish (2020) Small solutions of quadratic forms with congruence conditions arXiv.org.

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Abstract

We consider a system of homogeneous quadratic forms with congruence conditions in n≥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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ID Code:123696
Deposited On:11 Oct 2021 11:24
Last Modified:11 Oct 2021 11:24

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