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Tuesday, August 4, 2020 | History

8 edition of Introduction to the arithmetic theory of automorphic functions found in the catalog.

Introduction to the arithmetic theory of automorphic functions

by GorЕЌ Shimura

  • 109 Want to read
  • 27 Currently reading

Published by Princeton University Press in Princeton, N.J .
Written in English

    Subjects:
  • Automorphic functions.

  • Edition Notes

    Statementby Goro Shimura.
    SeriesPublications of the Mathematical Society of Japan ;, 11., Kanō memorial lectures ;, 1, Publications of the Mathematical Society of Japan ;, 11., Publications of the Mathematical Society of Japan., 1.
    Classifications
    LC ClassificationsQA353.A9 S55 1994
    The Physical Object
    Paginationxiii, 271 p. ;
    Number of Pages271
    ID Numbers
    Open LibraryOL1082310M
    ISBN 100691080925
    LC Control Number94005898

    Introduction to Shimura Varieties by J.S. Milne. Number of pages: Description: This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched. Goro Shimura is Professor of Mathematics at Princeton University. He was awarded the Leroy P. Steele Prize in for lifetime achievement in mathematics by the American Mathematical Society. He is the author of Introduction to Arithmetic Theory of Automorphic Functions (Princeton).

    Find helpful customer reviews and review ratings for Introduction to the Arithmetic Theory of Automorphic Functions (Publications of the Mathematical Society of Japan, Vol. 11) at Read honest and unbiased product reviews from our users. An illustration of an open book. Books. An illustration of two cells of a film strip. Video An illustration of an audio speaker. An introduction to the theory of automorphic functions Item Preview remove-circle An introduction to the theory of automorphic functions by Ford, Lester R., Publication date Topics Automorphic.

    Introduction to fuzzy arithmetic: Theory and applications (Van Nostrand Reinhold electrical/computer science and engineering series) by Kaufmann, A and a great selection of related books, art and collectibles available now at G. Shimura, "Introduction to the arithmetic theory of automorphic functions", Princeton Univ. Press () MR Zbl [a13] C.L. Siegel, "Gesammelte Abhandlungen", I–II, Springer () MR Zbl


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Introduction to the arithmetic theory of automorphic functions by GorЕЌ Shimura Download PDF EPUB FB2

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical by: The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory.

This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on. Introduction to the Arithmetic Theory of Automorphic Functions (Publications of the Mathematical Society of Japan 11) Goro Shimura The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory.

- Buy Introduction to Arithmetic Theory of Automorphic Functions (Publications of the Mathematical Society of Japan, No 11) book online at best prices in India on Read Introduction to Arithmetic Theory of Automorphic Functions (Publications of the Mathematical Society of Japan, No 11) book reviews & author details and more at Free Reviews: 1.

Introduction to the Arithmetic Theory of Automorphic Functions Shimura Scan. Here is a 85MB scan of Shimura's book. You should buy this book at for about 30 bucks. MathSciNet. Introduction to the arithmetic theory of automorphic functions.

Kanô Memorial Lectures, No. The book contains many new points of view and. By Goro Shimura: pp. xiv, £ (Princeton University Press, Princeton, ). Number Theory A Contemporary Introduction. This note describes the following topics: Pythagorean Triples, Quadratic Rings, Quadratic Reciprocity, The Mordell Equation, The Pell Equation, Arithmetic Functions, Asymptotics of Arithmetic Functions, The Primes: Infinitude, Density and Substance, The Prime Number Theorem and the Riemann Hypothesis, The Gauss Circle Problem and the Lattice.

Arithmetic theta lifts and the arithmetic Gan–Gross–Prasad conjecture for unitary groups Xue, Hang, Duke Mathematical Journal, ; Review: M. Holz, K. Steffens, E. Weitz, Introduction to Cardinal Arithmetic Burke, Maxim R., Bulletin of Symbolic Logic, ; Review: Lester R.

Ford, An Introduction to the Theory of Automorphic Functions Emch, Arnold, Bulletin of the American Mathematical. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation.

The following book is the best source for the arithmetic as­ pects of automorphic functions: G Shimura, An introduction to the Arithmetic Theory oj A utomorphic Functions, Princeton, For an introductory treatment with proofs and examples the best source is perhaps J-P Serre, A course in Arithmetic, Narosa Publishers, New Delhi, Automorphic Functions and Number Theory.

Lecture Notes in Mathematics, Vol. 54 (Paperback ed.). Springer. ISBN Shimura, Goro (1 August ). Introduction to the Arithmetic Theory of Automorphic Functions (Paperback ed.). Princeton University Press. ISBN - It is published from Iwanami Shoten in Japan.

This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March, in honor of the 60th birthday of Steve Rallis.

The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an. Get this from a library. Introduction to the arithmetic theory of automorphic functions.

[Gorō Shimura]. ISBN: OCLC Number: Description: xiii, pages 27 cm. Contents: * uschian groups of the first kind * Automorphic forms and functions * Hecke operators and the zeta-functions associated with modular forms * Elliptic curves * Abelian extensions of imaginary quadratic fields and complex multiplication of elliptic curves * Modular functions of higher level * Zeta.

Books: Here's a link to a text reviewed by the MAA: Introduction to the Arithmetic Theory of Automorphic Functions by Goro Shimura. At amazon, you can Look Inside. Also @amazon: Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics), by Daniel Bump.

Video Lectures. Non-Euclidean Geometry in the Theory of Automorphic Functions About this Title. Jacques by Jeremy J. Gray, Open University, Milton Keynes, UK and Abe Shenitzer, York University, Toronto, ON, ated by Abe Shenitzer, York University, Toronto, ON, Canada.

Publication: History of Mathematics. Chapter VII provides an elementary introduction to the theory of modular forms. Apostol, Tom M. (), Modular functions and Dirichlet Series in Number Theory, New York: Springer-Verlag, ISBN ; Shimura, Goro (), Introduction to the arithmetic theory of automorphic functions, Princeton, N.J.: Princeton University Press.

Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem.

This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of. Introduction to the arithmetic theory of automorphic functions by Gorō Shimura,Princeton University Press edition, in EnglishPages: This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting.

Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics.

The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic .The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways.A Course on Number Theory (PDF P) This note explains the following topics: Algebraic numbers, Finite continued fractions, Infinite continued fractions, Periodic continued fractions, Lagrange and Pell, Euler’s totient function, Quadratic residues and non-residues, Sums of squares and Quadratic forms.