Quantization and Arithmetic

André Unterberger

ISBN 10: 3764387904 / ISBN 13: 9783764387907

Editore: Birkhäuser Basel, 2008

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Zustand: Gut | Sprache: Englisch | Produktart: Bücher.

Codice articolo 4284196/3

Dati bibliografici

• Titolo: Quantization and Arithmetic
• Editore: Birkhäuser Basel
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764387904
• ISBN 13: 9783764387907
• Rilegatura: Brossura
• Condizione: Gut
• Cataloghi dei venditori:
  • Bücher

Descrizione articolo

Riassunto

The primary aim of this book is to create situations in which the zeta function, or other L-functions, will appear in spectral-theoretic questions. A secondary aim is to connect pseudo-differential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2, R), lying above an arithmetic group such as SL(2, Z).

Contenuti

Weyl Calculus and Arithmetic.- Quantization.- Quantization and Modular Forms.- Back to the Weyl Calculus.