9783540407294 - Non-archimedean L-functions and Arithmetical Siegel Modular Forms: 1471 Lecture Notes in Mathematics, 1471 by Courtieu, Michel; Panchishkin, Alexei a (11 results)

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Condition: New. pp. 212 2nd Edition.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 edition is substantially revised to account for the new explanations that have emerged in the past 10 years of the main formulas for special L-values in terms of arithmetical theory of nearly holomorphic modular forms.

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Condition: New. Print on Demand pp. 212 Illus.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 edition is substantially revised to account for the new explanations that have emerged in the past 10 years of the main formulas for special L-values in terms of arithmetical theory of nearly holomorphic modular forms. 212 pp. Englisch.

Condition: New. PRINT ON DEMAND pp. 212.

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object&nbspare L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg me.

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are 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-functions treated 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-experts looking for a quick approach to a rapidly developing domain of algebraic number theory. This new edition is substantially revised to account for the new explanations that have emerged in the past 10 years of the main formulas for special L-values in terms of arithmetical theory of nearly holomorphic modular forms.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 212 pp. Englisch.