Non Archimedean L Functions
Download Non Archimedean L Functions full books in PDF, epub, and Kindle. Read online free Non Archimedean L Functions ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Non Archimedean L Functions
Author | : Alexei A. Panchishkin |
Publsiher | : Springer |
Total Pages | : 167 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 9783662215418 |
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>
Non Archimedean L Functions and Arithmetical Siegel Modular Forms
Author | : Michel Courtieu,Alexei A. Panchishkin |
Publsiher | : Springer |
Total Pages | : 204 |
Release | : 2003-12-15 |
Genre | : Mathematics |
ISBN | : 9783540451785 |
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.
Non Archimedean L Functions and Arithmetical Siegel Modular Forms
Author | : Michel Courtieu,Alexei A. Panchishkin |
Publsiher | : Springer |
Total Pages | : 204 |
Release | : 2003-12-05 |
Genre | : Mathematics |
ISBN | : 3540407294 |
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.
Non Archimedean L Functions and Arithmetical Siegel Modular Forms
Author | : Michel Courtieu,Alexei A. Panchishkin |
Publsiher | : Unknown |
Total Pages | : 212 |
Release | : 2014-09-01 |
Genre | : Electronic Book |
ISBN | : 3662172062 |
Download Non Archimedean L Functions and Arithmetical Siegel Modular Forms Book in PDF, Epub and Kindle
Non Archimedean L functions of Siegel and Hilbert Modular Forms
Author | : Alekseĭ Alekseevich Panchishkin |
Publsiher | : Springer |
Total Pages | : 172 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : STANFORD:36105000058193 |
Download Non Archimedean L functions of Siegel and Hilbert Modular Forms Book in PDF, Epub and Kindle
Non Archimedean L Functions
Author | : Alexei A. Panchishkin |
Publsiher | : Unknown |
Total Pages | : 172 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 366221542X |
Download Non Archimedean L Functions Book in PDF, Epub and Kindle
Advanced Analytic Number Theory L Functions
Author | : Carlos J. Moreno |
Publsiher | : American Mathematical Soc. |
Total Pages | : 313 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9780821842669 |
Download Advanced Analytic Number Theory L Functions Book in PDF, Epub and Kindle
Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations. The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.
Algebraic Number Fields
Author | : Albrecht Fröhlich,London Mathematical Society |
Publsiher | : Unknown |
Total Pages | : 724 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : UOM:39015039010486 |
Download Algebraic Number Fields Book in PDF, Epub and Kindle