an introduction to non abelian class field theory automorphic forms of weight 1 and 2 dimensional galois representations series on number theory and its applications

Download Book An Introduction To Non Abelian Class Field Theory Automorphic Forms Of Weight 1 And 2 Dimensional Galois Representations Series On Number Theory And Its Applications in PDF format. You can Read Online An Introduction To Non Abelian Class Field Theory Automorphic Forms Of Weight 1 And 2 Dimensional Galois Representations Series On Number Theory And Its Applications here in PDF, EPUB, Mobi or Docx formats.

An Introduction To Non Abelian Class Field Theory

Author : Toyokazu Hiramatsu
ISBN : 9789813142282
Genre : Mathematics
File Size : 33. 22 MB
Format : PDF, Mobi
Download : 479
Read : 1235

Get This Book


This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.

An Introduction To Non Abelian Class Field Theory

Author : Toyokazu Hiramatsu
ISBN : 981314226X
Genre : Mathematics
File Size : 59. 81 MB
Format : PDF, ePub, Mobi
Download : 535
Read : 725

Get This Book


This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.

Problems And Solutions In Real Analysis

Author : Masayoshi Hata
ISBN : 9789813142848
Genre : Mathematics
File Size : 50. 50 MB
Format : PDF, ePub, Mobi
Download : 885
Read : 294

Get This Book


This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, differential equations and metric spaces. Each chapter has a summary of basic points, in which some fundamental definitions and results are prepared. This also contains many brief historical comments for some significant mathematical results in real analysis together with many references. Problems and Solutions in Real Analysis can be treated as a collection of advanced exercises by undergraduate students during or after their courses of calculus and linear algebra. It is also instructive for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the Prime Number Theorem through several exercises. This volume is also suitable for non-experts who wish to understand mathematical analysis. Request Inspection Copy Contents:Sequences and LimitsInfinite SeriesContinuous FunctionsDifferentiationIntegrationImproper IntegralsSeries of FunctionsApproximation by PolynomialsConvex FunctionsVarious Proof ζ(2) = π2/6Functions of Several VariablesUniform DistributionRademacher FunctionsLegendre PolynomialsChebyshev PolynomialsGamma FunctionPrime Number TheoremBernoulli NumbersMetric SpacesDifferential Equations Readership: Undergraduates and graduate students in mathematical analysis.

Reviews In Number Theory 1973 83

Author : American Mathematical Society
ISBN : 0821802186
Genre : Mathematics
File Size : 75. 25 MB
Format : PDF, Kindle
Download : 629
Read : 858

Get This Book



Number Theory Related To Modular Curves Momose Memorial Volume

Author : Joan-Carles Lario
ISBN : 9781470419912
Genre : Forms, Modular
File Size : 34. 51 MB
Format : PDF, ePub
Download : 225
Read : 548

Get This Book


This volume contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography. Papers contained in this volume cover these general themes in addition to discussing Momose's contributions as well as recent work and new results.

Algebraic Number Theory

Author : H. Koch
ISBN : 3540630031
Genre : Mathematics
File Size : 60. 73 MB
Format : PDF, ePub
Download : 300
Read : 1076

Get This Book


This book is an exposition of the main ideas of algebraic number theory. It is written for the non-expert. Therefore, beyond some algebra, there are almost no prerequisites.

Advanced Analytic Number Theory

Author : Carlos J. Moreno
ISBN : 9780821842669
Genre : Mathematics
File Size : 58. 1 MB
Format : PDF, ePub, Mobi
Download : 472
Read : 599

Get This Book


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. The present 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.

Reviews In Number Theory 1984 96

Author :
ISBN : 0821809377
Genre : Mathematics
File Size : 40. 95 MB
Format : PDF, ePub, Docs
Download : 553
Read : 548

Get This Book


These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.

The 1 2 3 Of Modular Forms

Author : Jan Hendrik Bruinier
ISBN : 3540741194
Genre : Mathematics
File Size : 70. 11 MB
Format : PDF, Kindle
Download : 186
Read : 1270

Get This Book


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.

Mathematical Reviews

Author :
ISBN : UOM:39015078588798
Genre : Mathematics
File Size : 32. 32 MB
Format : PDF, ePub, Docs
Download : 904
Read : 882

Get This Book



Top Download:

Best Books