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20072021
most citedGoldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions

18 citations · 32 across the 8 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.NT2011

Partial sums of the Möbius function in arithmetic progressions assuming GRH

Karin Halupczok, Benjamin Suger

We consider Mertens' function M(x,q,a) in arithmetic progression, Assuming the generalized Riemann hypothesis (GRH), we show an upper bound that is uniform for all moduli which are…

math.NT2011★ 12 cited

A new bound for the large sieve inequality with power moduli

Karin Halupczok

We give a new bound for the large sieve inequality with power moduli q^k that is uniform in k. The proof uses a new theorem due to T. Wooley from his work on efficient congruencing…