Non-Archimedean L-functions and arithmetical Siegel modular forms
This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central objectare L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. A new method of p- adic interpolation of these critical values is presented. An important class of p-adic L-functionstreated in the present book are p-adic L-functions of Siegel modular forms having logarithmic growth. The given construction of these p-adic L-functions uses precise algebraic properties of the arithmetical Shimura differential operator. The book will be very useful for postgraduate students and for non-expertslooking fora quick approach to a rapidly developing domain of algebraic number theory. This new editon is substantially revised to account for the new explanations that have emerged in the past 10 year of main formulas for special L-values in terms of arithmetical theory of nearly holomorphic modular forms. TOC:Introduction.- Non- Archimedean analytic functions, measures and distributions.- Siegel modular forms and the holomorphic projection operator.- Arithmetical differential operators on nearly holomorphic Siegel modular forms.- Admissible measures for standard L-functions and nearly holomorphic Siegel modular forms.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9783540407294
3540407294
- Maße
-
24 cm
- Umfang
-
VIII, 196 S.
- Ausgabe
-
2., augm. ed.
- Sprache
-
Deutsch
- Anmerkungen
-
Literaturverz. S. 187 - 193
- Erschienen in
-
Lecture notes in mathematics ; 1471
- Klassifikation
-
Mathematik
- Schlagwort
-
Siegel-Modulform
L-Funktion
- Ereignis
-
Veröffentlichung
- (wo)
-
Berlin, Heidelberg, New York, Hong Kong, London, Milan, Paris, Tokyo
- (wer)
-
Springer
- (wann)
-
2004
- Urheber
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 13:46 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Courtieu, Michel
- Pančiškin, Aleksej A.
- Springer
Entstanden
- 2004
Ähnliche Objekte (12)
Higher Green's functions for modular forms
Lectures on dirichlet series, modular functions and quadratic forms
Indefinite Theta Functions and Higher Depth Mock Modular Forms
Contributions to the theory of modular forms and L-functions
Quantization and non-holomorphic modular forms
Modular functions and special cycles
Modular functions and special cycles
Elliptic modular functions : an introduction
Polynomial functions of modular lattices
Elliptic modular functions : an introduction
Modular forms
Modular forms
Higher Green's functions for modular forms
Lectures on dirichlet series, modular functions and quadratic forms
Indefinite Theta Functions and Higher Depth Mock Modular Forms
Contributions to the theory of modular forms and L-functions
Quantization and non-holomorphic modular forms
Modular functions and special cycles
Modular functions and special cycles
Elliptic modular functions : an introduction
Polynomial functions of modular lattices
Elliptic modular functions : an introduction
Modular forms
Modular forms
Higher Green's functions for modular forms
Lectures on dirichlet series, modular functions and quadratic forms
Indefinite Theta Functions and Higher Depth Mock Modular Forms
Contributions to the theory of modular forms and L-functions
Quantization and non-holomorphic modular forms
Modular functions and special cycles
Modular functions and special cycles
Elliptic modular functions : an introduction
Polynomial functions of modular lattices
Elliptic modular functions : an introduction
Modular forms