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Paper detail

Small solutions of quadratic forms with congruence conditions

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.

preprint2020arXivOpen access
Prasuna BandiAnish Ghosh
math.NT
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Prasuna BandiAnish Ghosh

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