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.NT2022
Variance of primes in short residue classes for function fields
Stephan Baier, Arkaprava Bhandari
Keating and Rudnick derived asymptotic formulas for the variances of primes in arithmetic progressions and short intervals in the function field setting. Here we consider the hybri…
math.NT2022
Quantitative Oppenheim Conjecture for Quadratic Forms in 5 Variables over Function Fields
Stephan Baier, Arkaprava Bhandari
We translate Davenport's and Heilbronn's work on a quantitative version of the Oppenheim conjecture for indefinite diagonal quadratic forms in 5 variables into the setting of funct…