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

J\"orn Steuding; L\'aszl\'o T\'oth; Rasa Steuding

arxiv: 1109.4242 · v1 · pith:NQ7JQRGKnew · submitted 2011-09-20 · 🧮 math.NT

A modified M\"obius μ-function

Rasa Steuding , J\"orn Steuding , L\'aszl\'o T\'oth This is my paper

classification 🧮 math.NT

keywords functionmodifiedobiusriemannboundsconditionaldiscussfinally

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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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A modified M\"obius μ-function

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