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Analytic Number Theory pp 269–276Cite as

A Note on a Certain Average of L(1/2 +it, χ)

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Part of the book series: Developments in Mathematics ((DEVM,volume 6))

Abstract

We consider an average of the character sum S(χ; 0, N)=∑ N n=1 χ (n)(Proposition), and making use of this result, we obtain some average-type results on the q-estimate of L(1/2 +it, χ).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Meijigakuin University, Shirokanedai 1-2-37, Minato-ku, Tokyo, 108-8636, Japan

    Leo Murata

Authors
  1. Leo Murata
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Editor information

Editors and Affiliations

  1. Academia Sinica, China

    Chaohua Jia

  2. Nagoya University, Japan

    Kohji Matsumoto

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© 2002 Springer Science+Business Media Dordrecht

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Murata, L. (2002). A Note on a Certain Average of L(1/2 +it, χ). In: Jia, C., Matsumoto, K. (eds) Analytic Number Theory. Developments in Mathematics, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3621-2_17

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  • DOI: https://doi.org/10.1007/978-1-4757-3621-2_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5214-1

  • Online ISBN: 978-1-4757-3621-2

  • eBook Packages: Springer Book Archive

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