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Inequalities for weighted sums of Mertens functions

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Abstract

In this article we derive some polynomial inequalities for Mertens functions.

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References

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Acknowledgements

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.

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Authors and Affiliations

  1. Institute of Mathematical Sciences, IV Cross Road, CIT Campus, Taramani, Chennai, 600 113,, India

    Ramachandran Balasubramanian

  2. Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600 036,, India

    Saminathan Ponnusamy

  3. Institut für Analysis und Algebra, TU Braunschweig, 38106, Braunschweig, Germany

    Karl-Joachim Wirths

Authors
  1. Ramachandran Balasubramanian
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  2. Saminathan Ponnusamy
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  3. Karl-Joachim Wirths
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Correspondence to Saminathan Ponnusamy.

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Balasubramanian, R., Ponnusamy, S. & Wirths, KJ. Inequalities for weighted sums of Mertens functions. Arch. Math. 113, 273–279 (2019). https://doi.org/10.1007/s00013-019-01330-9

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  • DOI: https://doi.org/10.1007/s00013-019-01330-9

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