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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 : Willem Kuyk
Publisher : Springer
ISBN 13 : 3540378022
Total Pages : 352 pages
Book Rating : 4.5/5 (43 download)
Download or read book Modular Functions of One Variable III written by Willem Kuyk and published by Springer. This book was released on 2009-02-27 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Willem Kuyk
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (73 download)
Download or read book Modular Functions of One Variable, I-IV 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 : Jean-Pierre Serre
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)
Download or read book Modular Functions of One Variable III written by Jean-Pierre Serre and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kuyk
Publisher : Springer
ISBN 13 : 3540385096
Total Pages : 197 pages
Book Rating : 4.5/5 (43 download)
Download or read book Modular Functions of One Variable I written by Kuyk and published by Springer. This book was released on 2009-02-28 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analyt~c flavour. Volume 2 contains the courses of R. P. Langlands (l-adic rep resentations) and P. Deligne (modular schemes - representations of GL ) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ ing numerical tables. The School was a NATO Advanced Study Institute, and the orga nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the Coca-Cola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C•• We extend our warm est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job.
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 : P. Deligne
Publisher : Springer
ISBN 13 : 3540378553
Total Pages : 601 pages
Book Rating : 4.5/5 (43 download)
Download or read book Modular Functions of One Variable II written by P. Deligne and published by Springer. This book was released on 2009-02-28 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Willem Kuyk
Publisher : Springer
ISBN 13 : 9783540064831
Total Pages : 0 pages
Book Rating : 4.0/5 (648 download)
Download or read book Modular Functions of One Variable III written by Willem Kuyk and published by Springer. This book was released on 1986-02-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.:/5 (11 download)
Download or read book Modular Functions of One Variable Iii written by and published by . This book was released on 1973 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kuyk
Publisher : Springer
ISBN 13 : 9783540062196
Total Pages : 195 pages
Book Rating : 4.0/5 (621 download)
Download or read book Modular Functions of One Variable I written by Kuyk and published by Springer. This book was released on 1986-02-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analyt~c flavour. Volume 2 contains the courses of R. P. Langlands (l-adic rep resentations) and P. Deligne (modular schemes - representations of GL ) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ ing numerical tables. The School was a NATO Advanced Study Institute, and the orga nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the Coca-Cola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C•• We extend our warm est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job.
Author : B. Schoeneberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642656633
Total Pages : 244 pages
Book Rating : 4.6/5 (426 download)
Download or read book Elliptic Modular Functions written by B. Schoeneberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a fully detailed introduction to the theory of modular functions of a single variable. I hope that it will fill gaps which in view ofthe lively development ofthis theory have often been an obstacle to the students' progress. The study of the book requires an elementary knowledge of algebra, number theory and topology and a deeper knowledge of the theory of functions. An extensive discussion of the modular group SL(2, Z) is followed by the introduction to the theory of automorphic functions and auto morphic forms of integral dimensions belonging to SL(2,Z). The theory is developed first via the Riemann mapping theorem and then again with the help of Eisenstein series. An investigation of the subgroups of SL(2, Z) and the introduction of automorphic functions and forms belonging to these groups folIows. Special attention is given to the subgroups of finite index in SL (2, Z) and, among these, to the so-called congruence groups. The decisive role in this setting is assumed by the Riemann-Roch theorem. Since its proof may be found in the literature, only the pertinent basic concepts are outlined. For the extension of the theory, special fields of modular functions in particular the transformation fields of order n-are studied. Eisen stein series of higher level are introduced which, in case of the dimension - 2, allow the construction of integrals of the 3 rd kind. The properties of these integrals are discussed at length.
Author : Willem Kuyk
Publisher :
ISBN 13 :
Total Pages : 195 pages
Book Rating : 4.:/5 (73 download)
Download or read book Modular Functions of One Variable, I-IV written by Willem Kuyk and published by . This book was released on 1973 with total page 195 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 : William A. Stein
Publisher : American Mathematical Soc.
ISBN 13 : 0821839608
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)
Download or read book Modular Forms, a Computational Approach written by William A. Stein and published by American Mathematical Soc.. This book was released on 2007-02-13 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.
Author : Kuyk
Publisher : Springer
ISBN 13 : 9783540062196
Total Pages : 195 pages
Book Rating : 4.0/5 (621 download)
Download or read book Modular Functions of One Variable I written by Kuyk and published by Springer. This book was released on 1986-02-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analyt~c flavour. Volume 2 contains the courses of R. P. Langlands (l-adic rep resentations) and P. Deligne (modular schemes - representations of GL ) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ ing numerical tables. The School was a NATO Advanced Study Institute, and the orga nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the Coca-Cola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C•• We extend our warm est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job.
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 : B.J. Birch
Publisher : Springer
ISBN 13 : 3540375880
Total Pages : 158 pages
Book Rating : 4.5/5 (43 download)
Download or read book Modular Functions of One Variable IV written by B.J. Birch and published by Springer. This book was released on 2006-12-08 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
