Non-Archimedean L-Functions of Siegel and Hilbert Modular Forms (Record no. 31324)
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000 -LEADER | |
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fixed length control field | 03247nam a22004815i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783662215418 |
-- | 978-3-662-21541-8 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.7 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Panchishkin, Alexey A. |
245 10 - TITLE STATEMENT | |
Title | Non-Archimedean L-Functions of Siegel and Hilbert Modular Forms |
Statement of responsibility, etc | by Alexey A. Panchishkin. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Berlin, Heidelberg : |
Name of publisher | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
Year of publication | 1991. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | VII, 161 p. |
Other physical details | online resource. |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn — vol. 16, |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Geometry, algebraic. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Number theory. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Number Theory. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Algebraic Geometry. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-662-21541-8 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
-- | 1991. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0075-8434 ; |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK2030 | http://dx.doi.org/10.1007/978-3-662-21541-8 | E-BOOKS |