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Representations and evaluations of the error term in a certain divisor problem

  • Jun Furuya EMAIL logo , Makoto Minamide and Yoshio Tanigawa
Published/Copyright: August 17, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 3

Abstract

In this paper, we shall derive representations of the Chowla-Walum type formula for the error term in a divisor problem related to the derivatives of the Riemann zeta-function. As a direct corollary of this formula, we shall consider estimations of this error term.

MSC 2010: Primary 11N37, 11L07
Key words: Chowla-Walum formula; exponent pairs; hyperbola method

(Communicated by Georges Grekos)

References

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Received: 2013-9-6
Accepted: 2013-12-5
Published Online: 2016-8-17
Published in Print: 2016-6-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0160
Keywords for this article
Chowla-Walum formula; exponent pairs; hyperbola method

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  1. Research Article
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  3. Research Article
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  9. Research Article
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