Inequalities for weighted sums of Mertens functions
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In this article we derive some polynomial inequalities for Mertens functions.
KeywordsMöbius function Mertens function Polynomial inequality Euler’s totient function Euler-Mascheroni
Mathematics Subject Classification11A25
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The authors thank the referee for his careful reading of the paper and his useful comments. The first author acknowledges the support of Indian National Science Academy through the Srinivasa Ramanujan Professorship and the Department of Science and Technology for the support through the J. C. Bose Fellowship.