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## Details

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 the interaction between number theory and combinatorics using zeta and $L$-functions as a central theme.
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