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Synopsis
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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- ÉditeurSpringer
- Date d'édition2009
- ISBN 10 3540152083
- ISBN 13 9783540152088
- ReliureBroché
- Langueanglais
- Nombre de pages192
- Coordonnées du fabricantnon disponible
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function. Lecture notes in mathematics; 1253.
Edité par
Berlin, Springer, 1987
ISBN 10 : 3540152083
ISBN 13 : 9783540152088
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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. N° de réf. du vendeur 2485814
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Edité par
Springer Berlin Heidelberg, 1987
ISBN 10 : 3540152083
ISBN 13 : 9783540152088
Ancien ou d'occasion
Couverture souple
Vendeur : Buchpark, Trebbin, Allemagne
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Etat : Sehr gut. Zustand: Sehr gut | Seiten: 192 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 4412970/202
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Edité par
Springer Berlin Heidelberg, 1987
ISBN 10 : 3540152083
ISBN 13 : 9783540152088
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : 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. N° de réf. du vendeur 4882527
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Edité par
Springer Berlin Heidelberg, 1987
ISBN 10 : 3540152083
ISBN 13 : 9783540152088
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783540152088
Quantité disponible : 1 disponible(s)
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Edité par
Springer Berlin Heidelberg Apr 1987, 1987
ISBN 10 : 3540152083
ISBN 13 : 9783540152088
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783540152088
Quantité disponible : 2 disponible(s)
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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)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9783540152088_new
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1987, 1987
ISBN 10 : 3540152083
ISBN 13 : 9783540152088
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783540152088
Quantité disponible : 2 disponible(s)
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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 192. N° de réf. du vendeur 263068864
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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. PRINT ON DEMAND pp. 192. N° de réf. du vendeur 183068874
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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : 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. N° de réf. du vendeur 5860383
Quantité disponible : 4 disponible(s)