Non Archimedean L Functions And Arithmetical Siegel Modular Forms
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Non Archimedean L Functions And Arithmetical Siegel Modular Forms
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Author : Michel Courtieu
language : en
Publisher: Springer
Release Date : 2003-12-09
Non Archimedean L Functions And Arithmetical Siegel Modular Forms written by Michel Courtieu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-09 with Mathematics categories.
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
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Author : Michel Courtieu
language : en
Publisher: Springer Science & Business Media
Release Date :
Non Archimedean L Functions And Arithmetical Siegel Modular Forms written by Michel Courtieu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on with Algebraic number theory categories.
Non Archimedean L Functions And Arithmetical Siegel Modular Forms
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Author : Michel Courtieu
language : en
Publisher: Springer
Release Date : 2003-12-05
Non Archimedean L Functions And Arithmetical Siegel Modular Forms written by Michel Courtieu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-05 with Mathematics categories.
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
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Author : Michel Courtieu
language : en
Publisher:
Release Date : 2014-09-01
Non Archimedean L Functions And Arithmetical Siegel Modular Forms written by Michel Courtieu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Non Archimedean L Functions And Arithmetical Siegel Modular Forms
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Author : Michel Courtieu
language : en
Publisher:
Release Date : 2003
Non Archimedean L Functions And Arithmetical Siegel Modular Forms written by Michel Courtieu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Non Archimedean L Functions
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Author : Alexei A. Panchishkin
language : en
Publisher: Springer
Release Date : 2013-11-11
Non Archimedean L Functions written by Alexei A. Panchishkin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
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>
Modular Forms And Related Topics In Number Theory
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Author : B. Ramakrishnan
language : en
Publisher: Springer Nature
Release Date : 2020-11-24
Modular Forms And Related Topics In Number Theory written by B. Ramakrishnan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-24 with Mathematics categories.
This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and young faculty members working in these areas of research.
Elliptic Curves Modular Forms And Iwasawa Theory
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Author : David Loeffler
language : en
Publisher: Springer
Release Date : 2017-01-15
Elliptic Curves Modular Forms And Iwasawa Theory written by David Loeffler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-15 with Mathematics categories.
Celebrating one of the leading figures in contemporary number theory – John H. Coates – on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations. Several of the contributions in this volume were presented at the conference Elliptic Curves, Modular Forms and Iwasawa Theory, held in honour of the 70th birthday of John Coates in Cambridge, March 25-27, 2015. The main unifying theme is Iwasawa theory, a field that John Coates himself has done much to create. This collection is indispensable reading for researchers in Iwasawa theory, and is interesting and valuable for those in many related fields.
Iwasawa Theory 2012
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Author : Thanasis Bouganis
language : en
Publisher: Springer
Release Date : 2014-12-08
Iwasawa Theory 2012 written by Thanasis Bouganis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-08 with Mathematics categories.
This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa theory. Iwasawa theory is a modern and powerful branch of number theory and can be traced back to the Japanese mathematician Kenkichi Iwasawa, who introduced the systematic study of Z_p-extensions and p-adic L-functions, concentrating on the case of ideal class groups. Later this would be generalized to elliptic curves. Over the last few decades considerable progress has been made in automorphic Iwasawa theory, e.g. the proof of the Main Conjecture for GL(2) by Kato and Skinner & Urban. Techniques such as Hida’s theory of p-adic modular forms and big Galois representations play a crucial part. Also a noncommutative Iwasawa theory of arbitrary p-adic Lie extensions has been developed. This volume aims to present a snapshot of the state of art of Iwasawa theory as of 2012. In particular it offers an introduction to Iwasawa theory (based on a preparatory course by Chris Wuthrich) and a survey of the proof of Skinner & Urban (based on a lecture course by Xin Wan).
The 1 2 3 Of Modular Forms
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Author : Jan Hendrik Bruinier
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-10
The 1 2 3 Of Modular Forms written by Jan Hendrik Bruinier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-10 with Mathematics categories.
This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.