2 citations · 2 across the 5 of their papers we have counts for
19 papers · 1 filter
Large sieve estimate for multivariate polynomial moduli and applications
Karin Halupczok, Marc Munsch
We prove large sieve inequalities with multivariate polynomial moduli and deduce a general Bombieri--Vinogradov type theorem for a class of polynomial moduli having a sufficient nu…
Difference sets and the metric theory of small gaps
Christoph Aistleitner, Daniel El-Baz, Marc Munsch
Let be a sequence of distinct positive integers. In a recent paper Rudnick established asymptotic upper bounds for the minimal gaps of $\{a_n α\bmod 1, 1 \leq n…
Additive energy and a large sieve inequality for sparse sequences
Roger C. Baker, Marc Munsch, Igor E. Shparlinski
We consider the large sieve inequality for sparse sequences of moduli and give a general result depending on the additive energy (both symmetric and asymmetric) of the sequence of…
A pair correlation problem, and counting lattice points with the zeta function
Christoph Aistleitner, Daniel El-Baz, Marc Munsch
The pair correlation is a localized statistic for sequences in the unit interval. Pseudo-random behavior with respect to this statistic is called Poissonian behavior. The metric th…
Second moment of Dirichlet -functions, character sums over subgroups and upper bounds on relative class numbers
Stéphane Louboutin, Marc Munsch
We prove an asymptotic formula for the mean-square average of - functions associated to subgroups of characters of sufficiently large size. Our proof relies on the study of cert…
Large sieve inequality for power moduli
Marc Munsch
In this note we give a new bound for large sieve with characters to power moduli which improves in some range of the parameters the previous bounds of Baier/Zhao and Halupczok.