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[null,"1.","Record Nr.",null,"UNISA996466595503316"]
[null,null,"Autore",null,"Pančiškin A. A (Aleksej Alekseevič)"]
[null,null,"Titolo",null,"Non-archimedean L-functions of Siegel and Hilbert modular forms / / Alexey A. Panchishkin"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; ; Heidelberg : , : Springer-Verlag GmbH, , 1991"]
[null,null,"ISBN",null,"3-662-21541-1"]
[null,null,"Edizione",null,"[1st ed. 1991.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VII, 161 p.)"]
[null,null,"Collana",null,"Lecture notes in mathematics ; ; 1471"]
[null,null,"Disciplina",null,"512.73"]
[null,null,"Soggetti",null,"L-functions"]
[{"$nulls":4},"Siegel domains"]
[{"$nulls":4},"Hilbert modular surfaces"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Content -- Acknowledgement -- 1. Non-Archimedean analytic functions, measures and distributions -- 2. Siegel modular forms and the holomorphic projection operator -- 3. Non-Archimedean standard zeta functions of Siegel modular forms -- 4. Non-Archimedean convolutions of Hilbert modular forms -- References."]
[null,null,null,"Sommario/riassunto","This book 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 (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good super singular reduction of elliptic curves and abelian varieties). The given construction of these p-adic L-functions uses precise algebraic properties of the arithmetical Shimura differential operator. The book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developing domain of algebraic number theory: the arithmetical theory of L-functions and modular forms."]