4 citations · 4 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
The large sieve for square moduli, revisited
Stephan Baier
We revisit the large sieve for square moduli and obtain conditional improvements under hypotheses on higher additive energies of modular square roots.
An uncountable subring of with Hausdorff dimension zero
Stephan Baier, Shameek Paul
We construct a subring as mentioned in the title (hence this subring has Lebesgue measure zero).
Small solutions of generic ternary quadratic congruences to general moduli
Stephan Baier, Aishik Chattopadhyay
We study small non-trivial solutions of quadratic congruences of the form , with being an odd natural number, in an average sense. Thi…
Multiplicative inverses in short intervals
Stephan Baier
We give an alternative proof of a recent result by T.D. Browning and A. Haynes (arXiv:1204.6374v1) on multiplicative inverses in sequences of intervals and improve this result unde…