1 citations · 1 across the 2 of their papers we have counts for
3 papers
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
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…
math.NT2019
On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form
Prasuna Bandi, Anish Ghosh
We prove an analogue of the Oppenheim conjecture for a system comprising an inhomogeneous quadratic form and a linear form in variables using dynamics on the space of affine la…