Non Archimedean L Functions PDF Download
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Author | : Alexei A. Panchishkin |
Publisher | : Springer |
Total Pages | : 167 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 3662215411 |
Download Non-Archimedean L-Functions Book in PDF, ePub and Kindle
1) p n=1 The set of arguments s for which ((s) is defined can be extended to all s E C,s :f:. 1, and we may regard C as the group of all continuous quasicharacters C = Hom(R~, c>
Author | : Michel Courtieu |
Publisher | : Springer |
Total Pages | : 202 |
Release | : 2003-12-09 |
Genre | : Mathematics |
ISBN | : 3540451781 |
Download Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms Book in PDF, ePub and Kindle
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.
Author | : Michel Courtieu |
Publisher | : Springer |
Total Pages | : 204 |
Release | : 2003-12-05 |
Genre | : Mathematics |
ISBN | : 9783540407294 |
Download Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms Book in PDF, ePub and Kindle
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.
Author | : Michel Courtieu |
Publisher | : |
Total Pages | : 212 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662172063 |
Download Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms Book in PDF, ePub and Kindle
Author | : Alexei A. Panchishkin |
Publisher | : |
Total Pages | : 172 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662215425 |
Download Non-Archimedean L-Functions Book in PDF, ePub and Kindle
Author | : Alekseĭ Alekseevich Panchishkin |
Publisher | : Springer |
Total Pages | : 172 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : |
Download Non-Archimedean L-functions of Siegel and Hilbert Modular Forms Book in PDF, ePub and Kindle
Author | : A. A. Pančiškin |
Publisher | : |
Total Pages | : 99 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download Non-archimedean L-functions associated with Siegel modular forms Book in PDF, ePub and Kindle
Author | : A. A. Panchishkin |
Publisher | : |
Total Pages | : 99 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download Non Archimedean L-functions Associated with Siegel Modular Forms Book in PDF, ePub and Kindle
Author | : Ram M. Murty |
Publisher | : Birkhäuser |
Total Pages | : 204 |
Release | : 2013-11-09 |
Genre | : Mathematics |
ISBN | : 3034889569 |
Download Non-vanishing of L-Functions and Applications Book in PDF, ePub and Kindle
This monograph brings together a collection of results on the non-vanishing of L functions. The presentation, though based largely on the original papers, is suitable for independent study. A number of exercises have also been provided to aid in this endeavour. The exercises are of varying difficulty and those which require more effort have been marked with an asterisk. The authors would like to thank the Institut d'Estudis Catalans for their encouragement of this work through the Ferran Sunyer i Balaguer Prize. We would also like to thank the Institute for Advanced Study, Princeton for the excellent conditions which made this work possible, as well as NSERC, NSF and FCAR for funding. Princeton M. Ram Murty August, 1996 V. Kumar Murty Introduction Since the time of Dirichlet and Riemann, the analytic properties of L-functions have been used to establish theorems of a purely arithmetic nature. The distri bution of prime numbers in arithmetic progressions is intimately connected with non-vanishing properties of various L-functions. With the subsequent advent of the Tauberian theory as developed by Wiener and Ikehara, these arithmetical the orems have been shown to be equivalent to the non-vanishing of these L-functions on the line Re(s) = 1. In the 1950's, a new theme was introduced by Birch and Swinnerton-Dyer.
Author | : A. A. Panchishkin |
Publisher | : |
Total Pages | : 59 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download Non-Archimedean L-functions Associated with Hilbert Modular Forms Book in PDF, ePub and Kindle