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Character sums and the series L(1, χ)

Part of: Zeta and $L$-functions: analytic theory Exponential sums and character sums Algebraic number theory: global fields Sequences and sets

Published online by Cambridge University Press:  09 April 2009

Ming-Guang Leu
Ming-Guang Leu
Affiliation:
Department of Mathematics National Central UniversityChung-Li, Taiwan 32054Republic of China e-mail: [email protected]
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Abstract

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In this paper we derive a relation between character sums and partial sums of Dirichlet series.

Keywords

character sumsDirichlet series

MSC classification

Secondary: 11M20: Real zeros of $L(s, chi)$; results on $L(1, chi)$ 11L99: None of the above, but in this section 11R11: Quadratic extensions 11R29: Class numbers, class groups, discriminants 11B68: Bernoulli and Euler numbers and polynomials
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 70 , Issue 3 , June 2001 , pp. 425 - 436
Copyright
Copyright © Australian Mathematical Society 2001

References

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