Zeta and L-functions in Number Theory and Combinatorics (CBMS Regional Conference Series in Mathematics, 129, Band 129) - Softcover

Li, Wen-Ching Winnie

9781470449001: Zeta and L-functions in Number Theory and Combinatorics (CBMS Regional Conference Series in Mathematics, 129, Band 129)

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ISBN 10: 1470449005 ISBN 13: 9781470449001

Verlag: American Mathematical Society, 2019

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Drawing from lectures and courses she gave during 2014-17 in various contexts, and adding supplemental material to broaden the scope, Li explains the central role of zeta and L functions in number theory and combinatorics. She covers number theoretic zeta and L functions, the Selberg zeta function, L-functions in geometry, the Ilara zeta function, spectral graph theory, the explicit constructing of Ramanujan graphs, Artin L-functions and prime distributions for graphs, and zeta and L-functions of complexes. Annotation �2019 Ringgold, Inc., Portland, OR (protoview.com)

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

�ber die Autorin bzw. den Autor

Wen-Ching Winnie Li, Pennsylvania State University, University Park, PA.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag: American Mathematical Society
Erscheinungsdatum: 2019
Sprache: Englisch
ISBN 10: 1470449005
ISBN 13: 9781470449001
Einband: Taschenbuch
Anzahl der Seiten: 95
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Zeta and $L$-functions in Number Theory and Combinatorics

Wen-Ching Winnie Li

Verlag: American Mathematical Society, 2019

ISBN 10: 1470449005 ISBN 13: 9781470449001

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Zeta and L-functions in Number Theory and Combinatorics

Li, Wen-Ching Winnie

Verlag: American Mathematical Society, 2019

ISBN 10: 1470449005 ISBN 13: 9781470449001

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Zeta and $L$-functions in Number Theory and Combinatorics (Paperback)

Wen-Ching Winnie Li

Verlag: American Mathematical Society, Providence, 2019

ISBN 10: 1470449005 ISBN 13: 9781470449001

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Paperback. Zustand: new. Paperback. 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 other things, the combinatorial counterparts of celebrated results in number theory, such as the prime number theorem and the Chebotarev density theorem.The spectral theory for finite graphs and higher dimensional complexes is studied. Of special interest in theory and applications are the spectrally extremal objects, called Ramanujan graphs and Ramanujan complexes, which can be characterized by their associated zeta functions satisfying the Riemann Hypothesis. Explicit constructions of these extremal combinatorial objects, using number-theoretic and combinatorial means, are presented.Research on zeta and $L$-functions for complexes other than graphs emerged only in recent years. This is the first book for graduate students and researchers offering deep insight into this fascinating and fast developing area. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9781470449001

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Zeta and $L$-functions in Number Theory and Combinatorics

Wen-Ching Winnie Li

Verlag: American Mathematical Society, US, 2019

ISBN 10: 1470449005 ISBN 13: 9781470449001

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Paperback. Zustand: New. 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 other things, the combinatorial counterparts of celebrated results in number theory, such as the prime number theorem and the Chebotarev density theorem.The spectral theory for finite graphs and higher dimensional complexes is studied. Of special interest in theory and applications are the spectrally extremal objects, called Ramanujan graphs and Ramanujan complexes, which can be characterized by their associated zeta functions satisfying the Riemann Hypothesis. Explicit constructions of these extremal combinatorial objects, using number-theoretic and combinatorial means, are presented.Research on zeta and $L$-functions for complexes other than graphs emerged only in recent years. This is the first book for graduate students and researchers offering deep insight into this fascinating and fast developing area. Bestandsnummer des Verk�ufers LU-9781470449001

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