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Author : J. P. Serre,D. B. Zagier
Publisher : Unknown
Page : 348 pages
File Size : 43,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662170310
Author : J.-P. Serre,D. B. Zagier
Publisher : Springer
Page : 336 pages
File Size : 48,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540359845
The proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.
Author : Anonim
Publisher : Unknown
Page : 339 pages
File Size : 47,8 Mb
Release : 1977
Category : Electronic
ISBN : OCLC:1014879414
Author : P. Deligne,Willem Kuyk
Publisher : Unknown
Page : 608 pages
File Size : 50,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662177595
Author : Willem Kuyk,J. P. Serre
Publisher : Unknown
Page : 360 pages
File Size : 45,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662203669
Author : Willem Kuyk
Publisher : Springer
Page : 210 pages
File Size : 41,6 Mb
Release : 1973
Category : Mathematics
ISBN : UOM:39015049302543
Author : B. J. Birch,W. Kuyk
Publisher : Unknown
Page : 164 pages
File Size : 45,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662215012
Author : Jean-Pierre Serre,Don Zagier
Publisher : Unknown
Page : 0 pages
File Size : 55,8 Mb
Release : 1977
Category : Algebraic number theory
ISBN : 0387083480
Author : Hans Maass
Publisher : Unknown
Page : 288 pages
File Size : 55,9 Mb
Release : 1983
Category : Functions of complex variables
ISBN : UCSD:31822001859594
Author : Willem Kuyk,Pierre Deligne,Jean-Pierre Serre
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 1973
Category : Modular functions
ISBN : LCCN:73078427
Author : J. P. Serre,D. B. Zagier
Publisher : Springer
Page : 294 pages
File Size : 40,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540372912
The proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.
Author : Jean-Pierre Serre,D. B. Zagier
Publisher : Unknown
Page : 1926 pages
File Size : 46,7 Mb
Release : 1973
Category : Algebraic number theory
ISBN : 0387085300
Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 783 pages
File Size : 43,8 Mb
Release : 2003
Category : Mathematics
ISBN : 9781108470599
Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Author : Henri Cohen,Fredrik Strömberg
Publisher : American Mathematical Soc.
Page : 700 pages
File Size : 53,9 Mb
Release : 2017-08-02
Category : Forms (Mathematics).
ISBN : 9780821849477
The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and “fun” subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbook, which includes numerous exercises, aims to give a complete picture of the classical aspects of the subject, with an emphasis on explicit formulas. After a number of motivating examples such as elliptic functions and theta functions, the modular group, its subgroups, and general aspects of holomorphic and nonholomorphic modular forms are explained, with an emphasis on explicit examples. The heart of the book is the classical theory developed by Hecke and continued up to the Atkin–Lehner–Li theory of newforms and including the theory of Eisenstein series, Rankin–Selberg theory, and a more general theory of theta series including the Weil representation. The final chapter explores in some detail more general types of modular forms such as half-integral weight, Hilbert, Jacobi, Maass, and Siegel modular forms. Some “gems” of the book are an immediately implementable trace formula for Hecke operators, generalizations of Haberland's formulas for the computation of Petersson inner products, W. Li's little-known theorem on the diagonalization of the full space of modular forms, and explicit algorithms due to the second author for computing Maass forms. This book is essentially self-contained, the necessary tools such as gamma and Bessel functions, Bernoulli numbers, and so on being given in a separate chapter.
Author : Bruce C. Berndt,Ken Ono
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 49,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475760446
Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin's life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin's extensive range of interests within number theory. Many of these papers reflect Rankin's primary focus in modular forms. It is the editors' fervent hope that mathematicians will be stimulated by these papers and gain a greater appreciation for Rankin's contributions to mathematics. This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.
