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Zeta and L-functions in number theory and combinatorics

Author: W C Winnie Li; Conference Board of the Mathematical Sciences,; National Science Foundation (U.S.)
Publisher: Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2019]
Series: Regional conference series in mathematics, no. 129.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Zeta and L-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew out of the author's teaching over several years, explores the interaction between number theory and combinatorics using zeta and L-functions as a central theme. It provides a systematic and comprehensive account of these functions in a combinatorial setting and establishes, among  Read more...
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Document Type: Book
All Authors / Contributors: W C Winnie Li; Conference Board of the Mathematical Sciences,; National Science Foundation (U.S.)
ISBN: 9781470449001 1470449005
OCLC Number: 1077481889
Notes: "With support from the National Science Foundation."
Description: vii, 95 pages : illustrations ; 26 cm
Contents: Lecture 1. Number theoretic zeta and L-functions --
Lecture 2. The Selberg zeta function --
Lecture 3. L-functions in geometry --
Lecture 4. The Ihara zeta function --
Lecture 5. Spectral graph theory --
Lecture 6. Explicit constructions of Ramanujan graphs --
Lecture 7. Artin L-functions and prime distributions for graphs --
Lecture 8. Zeta and L-functions of complexes.
Series Title: Regional conference series in mathematics, no. 129.
Responsibility: Wen-Ching Winnie Li.

Abstract:

Zeta and $L$-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew out of the author's teaching over several years, explores  Read more...

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