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On the Size of \(\sum\limits_{\text{n} \leqslant \text{x}} {\text{d(n)e(nx)}}\)

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Analytic Number Theory and Diophantine Problems

Part of the book series: Progress in Mathematics ((PM,volume 70))

Abstract

In his famous Habilitationsschrift of 1854 on trigonometric series and integration theory, Riemann gave the following interesting example which shows his high ingenuity of analysis and arithmetic as well.

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Author information

Authors and Affiliations

  1. Okayama University, Okayama, Japan

    Takeshi Kano

Authors
  1. Takeshi Kano
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Oklahoma State University, 74078, Stillwater, OK, USA

    A. C. Adolphson , J. B. Conrey  & A. Ghosh ,  & 

  2. Macquarie University, 2113, New South Wales, Australia

    R. I. Yager

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© 1987 Birkhäuser Boston

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Kano, T. (1987). On the Size of \(\sum\limits_{\text{n} \leqslant \text{x}} {\text{d(n)e(nx)}}\) . In: Adolphson, A.C., Conrey, J.B., Ghosh, A., Yager, R.I. (eds) Analytic Number Theory and Diophantine Problems. Progress in Mathematics, vol 70. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4816-3_15

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  • DOI: https://doi.org/10.1007/978-1-4612-4816-3_15

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-9173-2

  • Online ISBN: 978-1-4612-4816-3

  • eBook Packages: Springer Book Archive

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