Arithmetic Of L Functions

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L Functions And Arithmetic

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Author : John Coates
language : en
Publisher:
Release Date : 1991

L Functions And Arithmetic written by John Coates and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Algebraic number theory categories.

This volume is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of several short courses, aimed at presenting rigorous but non-technical expositions of the latest research areas, and a number of individual lectures on specific topics. The contributors are all outstanding figures in the area of algebraic number theory and this volume will be of lasting value to students and researchers working in the area.

Arithmetic Of L Functions

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Author : Cristian Popescu
language : en
Publisher: American Mathematical Soc.
Release Date :

Arithmetic Of L Functions written by Cristian Popescu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Arithmetic L Functions And Differential Geometric Methods

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Author : Pierre Charollois
language : en
Publisher:
Release Date : 2021

Arithmetic L Functions And Differential Geometric Methods written by Pierre Charollois and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.

This book is an outgrowth of the conference "Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods" that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are: • Additive polylogarithms • Analytic torsions • Chabauty-Kim theory • Local Grothendieck-Riemann-Roch theorems • Periods • Syntomic regulator The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.

Elementary Theory Of L Functions And Eisenstein Series

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Author : Haruzo Hida
language : en
Publisher: Cambridge University Press
Release Date : 1993-02-11

Elementary Theory Of L Functions And Eisenstein Series written by Haruzo Hida and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-11 with Mathematics categories.

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.

Non Vanishing Of L Functions And Applications

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Author : M. Ram Murty
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05

Non Vanishing Of L Functions And Applications written by M. Ram Murty 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 2012-01-05 with Mathematics categories.

This volume develops methods for proving the non-vanishing of certain L-functions at points in the critical strip. It begins at a very basic level and continues to develop, providing readers with a theoretical foundation that allows them to understand the latest discoveries in the field.

Zeta And L Functions Of Varieties And Motives

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Author : Bruno Kahn
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-07

Zeta And L Functions Of Varieties And Motives written by Bruno Kahn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Mathematics categories.

Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

Advanced Analytic Number Theory

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Author : Carlos J. Moreno
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2005

Advanced Analytic Number Theory written by Carlos J. Moreno and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Algebraic number theory categories.

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-HeckeL-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 ofRiemann 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.

Elliptic Curves Modular Forms And Their L Functions

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Author : Alvaro Lozano-Robledo
language : en
Publisher: American Mathematical Soc.
Release Date :

Elliptic Curves Modular Forms And Their L Functions written by Alvaro Lozano-Robledo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. This book is an introduction to some of these problems.

The Grothendieck Festschrift Volume I

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Author : Pierre Cartier
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21

The Grothendieck Festschrift Volume I written by Pierre Cartier 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 2009-05-21 with Mathematics categories.

This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.

Non Vanishing Of L Functions And Applications

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Author : Maruti Ram Murty
language : en
Publisher: Springer Science & Business Media
Release Date : 1997

Non Vanishing Of L Functions And Applications written by Maruti Ram Murty 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 1997 with Mathematics categories.

Discussion of results on the nonvanishing of L-functions is largely based on the various mathematicians' original papers. The authors place special emphasis on L-functions of Dirichlet and Artin, and those that are attached to modular forms. They address theorems on nonvanishing that have immediate applications to general questions concerning equidistribution. They do not consider the Galois theoretic and the automorphic method. Annotation copyrighted by Book News, Inc., Portland, OR