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A modified Möbius μ-function

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Abstract

We investigate a modified Möbius μ-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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Authors and Affiliations

  1. Department of Mathematics, Würzburg University, Am Hubland, 97218, Würzburg, Germany

    Rasa Steuding & Jörn Steuding

  2. Department of Mathematics, University of Pécs, Ifjúság u. 6, 7624, Pécs, Hungary

    László Tóth

Authors
  1. Rasa Steuding
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  2. Jörn Steuding
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  3. László Tóth
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Correspondence to László Tóth.

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Steuding, R., Steuding, J. & Tóth, L. A modified Möbius μ-function. Rend. Circ. Mat. Palermo 60, 13–21 (2011). https://doi.org/10.1007/s12215-011-0022-x

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  • DOI: https://doi.org/10.1007/s12215-011-0022-x

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