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Author : J. P. Serre
Publisher :
ISBN 13 : 9783662170311
Total Pages : 348 pages
Book Rating : 4.1/5 (73 download)
Download or read book Modular Functions of One Variable VI written by J. P. Serre and published by . This book was released on 2014-01-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.-P. Serre
Publisher : Springer
ISBN 13 : 3540359842
Total Pages : 336 pages
Book Rating : 4.5/5 (43 download)
Download or read book Modular Functions of One Variable VI written by J.-P. Serre and published by Springer. This book was released on 2006-11-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher :
ISBN 13 :
Total Pages : 339 pages
Book Rating : 4.:/5 (11 download)
Download or read book Modular Functions of One Variable VI. written by and published by . This book was released on 1977 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Willem Kuyk
Publisher : Springer
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.3/5 (91 download)
Download or read book Modular Functions of One Variable, I-IV written by Willem Kuyk and published by Springer. This book was released on 1973 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Deligne
Publisher :
ISBN 13 : 9783662177594
Total Pages : 608 pages
Book Rating : 4.1/5 (775 download)
Download or read book Modular Functions of One Variable II written by P. Deligne and published by . This book was released on 2014-01-15 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Willem Kuyk
Publisher :
ISBN 13 : 9783662203668
Total Pages : 360 pages
Book Rating : 4.2/5 (36 download)
Download or read book Modular Functions of One Variable III written by Willem Kuyk and published by . This book was released on 2014-01-15 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B. J. Birch
Publisher :
ISBN 13 : 9783662215012
Total Pages : 164 pages
Book Rating : 4.2/5 (15 download)
Download or read book Modular Functions of One Variable IV written by B. J. Birch and published by . This book was released on 2014-01-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Serre
Publisher :
ISBN 13 : 9780387083483
Total Pages : 0 pages
Book Rating : 4.0/5 (834 download)
Download or read book Modular Functions of One Variable V-VI written by Jean-Pierre Serre and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Maass
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (318 download)
Download or read book Lectures on Modular Functions of One Complex Variable written by Hans Maass and published by . This book was released on 1983 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Serre
Publisher :
ISBN 13 : 9780387085302
Total Pages : 1926 pages
Book Rating : 4.0/5 (853 download)
Download or read book Modular Functions of One Variable written by Jean-Pierre Serre and published by . This book was released on 1973 with total page 1926 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Goro Shimura
Publisher : Springer Science & Business Media
ISBN 13 : 146142125X
Total Pages : 183 pages
Book Rating : 4.4/5 (614 download)
Download or read book Modular Forms: Basics and Beyond written by Goro Shimura and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics. This book offers something new, which may satisfy the desire of such a reader. However, we state every definition and every essential fact concerning classical modular forms of one variable. One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types. Thus the book is presented so that the reader can learn such theories systematically.
Author : Willem Kuyk
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (73 download)
Download or read book Modular Functions of One Variable written by Willem Kuyk and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert C. Gunning
Publisher : Princeton University Press
ISBN 13 : 9780691079950
Total Pages : 116 pages
Book Rating : 4.0/5 (799 download)
Download or read book Lectures on Modular Forms written by Robert C. Gunning and published by Princeton University Press. This book was released on 1962-03-21 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: New interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler. But there has been no introductory work covering the background of these developments. H. C. Gunning's book surveys techniques and problems; only the simpler cases are treated-modular forms of even weights without multipliers, the principal congruence subgroups, and the Hecke operators for the full modular group alone.
Author : J. P. Serre
Publisher : Springer
ISBN 13 : 3540372911
Total Pages : 294 pages
Book Rating : 4.5/5 (43 download)
Download or read book Modular Functions of One Variable V written by J. P. Serre and published by Springer. This book was released on 2006-11-15 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Steven R. Finch
Publisher : Cambridge University Press
ISBN 13 : 1108470599
Total Pages : 783 pages
Book Rating : 4.1/5 (84 download)
Download or read book Mathematical Constants II written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : American Mathematical Soc.
ISBN 13 : 0821849476
Total Pages : 700 pages
Book Rating : 4.8/5 (218 download)
Download or read book Modular Forms: A Classical Approach written by Henri Cohen and published by American Mathematical Soc.. This book was released on 2017-08-02 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer Science & Business Media
ISBN 13 : 1475760442
Total Pages : 392 pages
Book Rating : 4.4/5 (757 download)
Download or read book Number Theory and Modular Forms written by Bruce C. Berndt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
