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math.NT2020★ 1 cited
Small solutions of quadratic forms with congruence conditions
Prasuna Bandi, Anish Ghosh
We consider a system of homogeneous quadratic forms with congruence conditions in variables and prove the existence of two linearly independent integral solutions of boun…
math.NT2020★ 1 cited
A generic effective Oppenheim theorem for systems of forms
Prasuna Bandi, Anish Ghosh, Jiyoung Han
We prove a uniform effective density theorem as well as an effective counting result for a generic system comprising a polynomial with a mild homogeneous condition and several line…