A modified M\"obius $\mu$-function

Rasa Steuding; Jörn Steuding; László Tóth

A modified M\"obius $\mu$-function

Number Theory 2011-09-21 v1

Authors: Rasa Steuding , Jörn Steuding , László Tóth

Abstract

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.

Cite

@article{arxiv.1109.4242,
  title  = {A modified M\"obius $\mu$-function},
  author = {Rasa Steuding and Jörn Steuding and László Tóth},
  journal= {arXiv preprint arXiv:1109.4242},
  year   = {2011}
}

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9 pages

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