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On a Category of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis

In: Trigonometric Sums and Their Applications

Author

Listed:
  • Nikita Derevyanko

    (Moscow Institute of Physics and Technology)

  • Kirill Kovalenko

    (National Research University Higher School of Economics)

  • Maksim Zhukovskii

    (Moscow Institute of Physics and Technology, Laboratory of Advanced Combinatorics and Network Applications)

Abstract

The purpose of the present paper is to provide a general overview of a variety of results related to a category of cotangent sums which have been proven to be associated to the so-called Nyman-Beurling criterion for the Riemann Hypothesis. These sums are also related to the Estermann Zeta function.

Suggested Citation

  • Nikita Derevyanko & Kirill Kovalenko & Maksim Zhukovskii, 2020. "On a Category of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis," Springer Books, in: Andrei Raigorodskii & Michael Th. Rassias (ed.), Trigonometric Sums and Their Applications, pages 1-28, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-37904-9_1
    DOI: 10.1007/978-3-030-37904-9_1
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