Dirichlet Series

Rivat, Joël

doi:10.1007/978-3-319-74908-2_3

Joël Rivat¹⁵

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2213))

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Abstract

We call Dirichlet series any function of a complex variable

$$\displaystyle F(s) := \sum _{n\geqslant 1} \frac {a_n}{n^{s}},$$

where $a_n\in {{\mathbb {C}}}$, defined wherever it converges.

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Authors and Affiliations

Aix Marseille Université, CNRS, Centrale Marseille, Institut de Mathématiques de Marseille, I2M – UMR 7373, Marseille, France
Joël Rivat

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Joël Rivat
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Correspondence to Joël Rivat .

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CNRS UMR 7373, Institut de Mathématiques de Marseille, Marseille, France
Sébastien Ferenczi
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Toruń, Poland
Joanna Kułaga-Przymus
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Toruń, Poland
Mariusz Lemańczyk

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Rivat, J. (2018). Dirichlet Series. In: Ferenczi, S., Kułaga-Przymus, J., Lemańczyk, M. (eds) Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics. Lecture Notes in Mathematics, vol 2213. Springer, Cham. https://doi.org/10.1007/978-3-319-74908-2_3

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DOI: https://doi.org/10.1007/978-3-319-74908-2_3
Published: 16 June 2018
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-74907-5
Online ISBN: 978-3-319-74908-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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