Mathematics – Number Theory
Scientific paper
2011-11-14
Mathematics
Number Theory
To be published in Functiones et Approximatio
Scientific paper
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 not too large. For the proof, a former method
of K. Soundararajan is extended to L-series.
Halupczok Karin
Suger Benjamin
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