Anup Haldar

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20222024

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math.NT2023

Multiple exponential sums and their applications to quadratic congruences

Nilanjan Bag, Stephan Baier, Anup Haldar

In this paper, we develop a method of evaluating general exponential sums with rational amplitude functions for multiple variables which complements works by T. Cochrane and Z. Zhe…

math.NT2023

Fourth power mean of the general $s$ -dimensional Kloosterman sum mod $p$

Nilanjan Bag, Anup Haldar

In this article, we prove an asymptotic formula for the fourth power mean of a general $s$ -dimensional hyper-Kloosterman sum. We find the number of solutions of certain congruence…

math.NT2023

Equidistribution of Solutions of Ternary Quadratic Congruences Modulo Prime Powers

Anup Haldar

Let $p$ be a fixed odd prime and $Q (x, y, z) = a x^{2} + b x y + c y^{2} + d x z + ey z + f z^{2}$ be a fixed quadratic form in $Z [x, y, z]$ which is non-degenerate in $F_{p} [x, y, z]$ and $(a(4ac…

Multiple exponential sums and their applications to quadratic congruences

Fourth power mean of the general s-dimensional Kloosterman sum mod p

Equidistribution of Solutions of Ternary Quadratic Congruences Modulo Prime Powers

Fourth power mean of the general $s$ -dimensional Kloosterman sum mod $p$