77 citations · 304 across the 59 of their papers we have counts for
72 papers
A note on the distribution of prime ideals in real quadratic fields
Stephan Baier, Sayantan Roy
In this note, we give a summary of the article ``The distribution of prime ideals of imaginary quadratic fields'' by G. Harman, A. Kumchev and P. A. Lewis and establish analogous r…
Large sieve inequalities with power moduli and Waring's problem
Stephan Baier, Sean B. Lynch
We improve the large sieve inequality with th-power moduli, for all . Our method relates these inequalities to a restricted variant of Waring's problem. Firstly, we inpu…
Diophantine approximation with prime denominator in real quadratic function fields
Stephan Baier, Esrafil Ali Molla
In the thirties of the last century, I. M. Vinogradov proved that the inequality has infinitely prime solutions , where denotes the dist…
A Bombieri-Vinogradov-type theorem for moduli with small radical
Stephan Baier, Sudhir Pujahari
In this article, we extend our recent work on a Bombieri-Vinogradov-type theorem for sparse sets of prime powers with to sparse sets…
Solutions of with small
Stephan Baier
Friedlander and Iwaniec investigated integral solutions of the equation , where is square-free and satisfies the congruence condition $D\eq…
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…