4 citations · 4 across the 17 of their papers we have counts for
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Diophantine approximation with primes from short intervals
Stephan Baier, Sayantan Roy
In this paper, we establish hybrid results on Diophantine approximation with primes from short intervals. In particular, we prove the following result in a slightly modified form:…
Small solutions of ternary quadratic congruences with averaging over the moduli
Stephan Baier, Aishik Chattopadhyay
In a recent paper, we proved that for any large enough odd modulus and fixed coprime to , the congruence \[ x_1^2+α_2x_2^2+α_3x_3^2\equiv 0…
A Bombieri-Vinogradov theorem for sectors in real quadratic number fields
Stephan Baier, Esrafil Ali Molla
We establish a Bombieri-Vinogradov theorem for sectors in real quadratic number fields.
Diophantine approximation with sums of two squares II
Stephan Baier, Habibur Rahaman
Recently, the authors showed that for every irrational number , there exist infinitely many positive integers represented by any given positive definite binary quadratic for…
Character sums to prime power moduli evaluated at binary quadratic forms
Stephan Baier, Aishik Chattopadhyay
We establish estimates for short character sums to prime power moduli evaluated at binary quadratic forms. This complements estimates established by Heath-Brown for such character…
Diophantine approximation with sums of two squares
Stephan Baier, Habibur Rahaman
For any given positive definite binary quadratic form with integer coefficients, we establish two results on Diophantine approximation with integers represented by . Firstly…