Description

Book Synopsis
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.

Table of Contents
  • Number theoretic zeta and $L$-functions
  • The Selberg zeta function
  • $L$-functions in geometry
  • The Ihara zeta function
  • Spectral graph theory
  • Explicit constructions of Ramanujan graphs
  • Artin $L$-functions and prime distributions for graphs
  • Zeta and $L$-functions of complexes
  • Bibliography
  • Index

    Zeta and Lfunctions in Number Theory and

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      £999.99

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      A Paperback / softback by Wen-Ching Winnie Li

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        View other formats and editions of Zeta and Lfunctions in Number Theory and by Wen-Ching Winnie Li

        Publisher: American Mathematical Society
        Publication Date: Publication Date: 30/03/2019
        ISBN13: 9781470449001, 978-1470449001
        ISBN10: 1470449005

        Description

        Book Synopsis
        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.

        Table of Contents
        • Number theoretic zeta and $L$-functions
        • The Selberg zeta function
        • $L$-functions in geometry
        • The Ihara zeta function
        • Spectral graph theory
        • Explicit constructions of Ramanujan graphs
        • Artin $L$-functions and prime distributions for graphs
        • Zeta and $L$-functions of complexes
        • Bibliography
        • Index

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