![Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms [electronic resource] : Second, Augmented Edition /](/search/themes/bootstrap3/images/libros.png)
Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms [electronic resource] : Second, Augmented Edition /
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 supersingular reduction of ellptic curves and abelian varieties). The given construction of these p-adic L-functions uses precise algebraic properties of the arihmetical Shimura differential operator. The book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of L-functions and modular forms.
| Principais autores: | , , |
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| Formato: | Texto biblioteca |
| Idioma: | eng |
| Publicado em: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1991
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| Assuntos: | Mathematics., Algebraic geometry., Number theory., Number Theory., Algebraic Geometry., |
| Acesso em linha: | http://dx.doi.org/10.1007/b13348 |
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