3 papers
math.NT2024
Small solutions to inhomogeneous and homogeneous quadratic congruences modulo prime powers
Stephan Baier, Arkaprava Bhandari, Anup Haldar
We prove asymptotic formulae for small weighted solutions of quadratic congruences of the form , where is a fixed odd prime,…
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.NT2022
Small Pythagorean triples modulo prime powers
Stephan Baier, Anup Haldar
Let be a fixed prime. We obtain an asymptotic formula related to small solutions of quadratic congruences of the form where $\max\{|x_1|,|…