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math.NT2019
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.
math.NT2019
Small Gál sums and applications
Régis de la Bretèche, Marc Munsch, Gérald Tenenbaum
In recent years, maximizing Gál sums regained interest due to a firm link with large values of -functions. In the present paper, we initiate an investigation of small sums of Gá…