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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function: 1253 (Lecture Notes in Mathematics) - Tapa blanda
Sinopsis
The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula.
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The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula.
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- EditorialSpringer
- Año de publicación2009
- ISBN 10 3540152083
- ISBN 13 9783540152088
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas192
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function. Lecture notes in mathematics; 1253.
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Berlin, Springer, 1987
ISBN 10: 3540152083
ISBN 13: 9783540152088
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Librería: Antiquariat Bookfarm, Löbnitz, Alemania
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Softcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01927 3540152083 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2485814
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Publicado por
Springer Berlin Heidelberg, 1987
ISBN 10: 3540152083
ISBN 13: 9783540152088
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Seiten: 192 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 4412970/202
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
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Springer Berlin Heidelberg Apr 1987, 1987
ISBN 10: 3540152083
ISBN 13: 9783540152088
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Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula. 192 pp. Englisch. Nº de ref. del artículo: 9783540152088
Cantidad disponible: 2 disponibles
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function (Lecture Notes in Mathematics, Vol. 1253) (Lecture Notes in Mathematics, 1253)
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Publicado por
Springer Berlin Heidelberg, 1987
ISBN 10: 3540152083
ISBN 13: 9783540152088
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula. Nº de ref. del artículo: 9783540152088
Cantidad disponible: 1 disponibles
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Publicado por
Springer Berlin Heidelberg, 1987
ISBN 10: 3540152083
ISBN 13: 9783540152088
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive. Nº de ref. del artículo: 4882527
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Publicado por
Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1987, 1987
ISBN 10: 3540152083
ISBN 13: 9783540152088
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula. 192 pp. Englisch. Nº de ref. del artículo: 9783540152088
Cantidad disponible: 2 disponibles
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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
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Condición: New. Print on Demand pp. 192 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Nº de ref. del artículo: 5860383
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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function
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Condición: New. pp. 192. Nº de ref. del artículo: 263068864
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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function
Impresión bajo demandaLibrería: Biblios, Frankfurt am main, HESSE, Alemania
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Condición: New. PRINT ON DEMAND pp. 192. Nº de ref. del artículo: 183068874
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