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math.NT2019
On pairs of quadratic forms in five variables
Kummari Mallesham
In this article, we obtain an upper bound for the number of integral solutions, of given height, of system of two quadratic forms in five variables. Our bound is an improvement ove…
math.NT2019
Non-linear additive twist of Fourier coefficients of and Maass forms
Sumit Kumar, Kummari Mallesham, Saurabh Kumar Singh
Let be the Fourier coefficients of a Hecke-Maass cusp form for and be the Fourier coefficients of Hecke-eigen form for $SL(2,\mathb…