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.
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.
Wen-Ching Winnie Li, Pennsylvania State University, University Park, PA.
Inhaltsangabe
1. Number theoretic zeta and $L$-functions 2. The Selberg zeta function 3. $L$-functions in geometry 4. The Ihara zeta function 5. Spectral graph theory 6. Explicit constructions of Ramanujan graphs 7. Artin $L$-functions and prime distributions for graphs 8. Zeta and $L$-functions of complexes 9. Bibliography 10. Index
1. Number theoretic zeta and $L$-functions 2. The Selberg zeta function 3. $L$-functions in geometry 4. The Ihara zeta function 5. Spectral graph theory 6. Explicit constructions of Ramanujan graphs 7. Artin $L$-functions and prime distributions for graphs 8. Zeta and $L$-functions of complexes 9. Bibliography 10. Index
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