A modified Möbius $μ$-function

Details A modified Möbius $μ$-function A modified Möbius $μ$-function

2011-09-20

arxiv.org/abs/1109.4242v1

Rend. Circ. Mat. Palermo 60 (2011), 13--21

Mathematics

Number Theory

9 pages

Scientific paper

We investigate a modified M\"obius $\mu$-function which is related to an
infinite product of shifted Riemann zeta-functions. We prove conditional and
unconditional upper and lower bounds for its summatory function, and, finally,
we discuss relations with Riemann's hypothesis.

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