Partitions Q Series And Modular Forms PDF Download
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Author | : Krishnaswami Alladi |
Publisher | : Springer Science & Business Media |
Total Pages | : 233 |
Release | : 2011-11-01 |
Genre | : Mathematics |
ISBN | : 1461400287 |
Download Partitions, q-Series, and Modular Forms Book in PDF, ePub and Kindle
Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions.
Author | : |
Publisher | : |
Total Pages | : 238 |
Release | : 2011-11-02 |
Genre | : |
ISBN | : 9781461400295 |
Download Partitions, Q-Series, and Modular Forms Book in PDF, ePub and Kindle
Author | : Krishnaswami Alladi |
Publisher | : Springer |
Total Pages | : 224 |
Release | : 2011-11-01 |
Genre | : Mathematics |
ISBN | : 9781461400271 |
Download Partitions, q-Series, and Modular Forms Book in PDF, ePub and Kindle
Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions.
Author | : George E. Andrews |
Publisher | : Springer |
Total Pages | : 736 |
Release | : 2018-02-01 |
Genre | : Mathematics |
ISBN | : 3319683764 |
Download Analytic Number Theory, Modular Forms and q-Hypergeometric Series Book in PDF, ePub and Kindle
Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory.
Author | : Bruce C. Berndt |
Publisher | : Springer Science & Business Media |
Total Pages | : 392 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1475760442 |
Download Number Theory and Modular Forms Book in PDF, ePub and Kindle
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.
Author | : Ken Ono |
Publisher | : American Mathematical Soc. |
Total Pages | : 226 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821833685 |
Download The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series Book in PDF, ePub and Kindle
Chapter 1.
Author | : George E. Andrews |
Publisher | : American Mathematical Soc. |
Total Pages | : 50 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : 0821823027 |
Download Generalized Frobenius Partitions Book in PDF, ePub and Kindle
This paper is devoted to the study of equilength two-line arrays of non-negative integers. These are called generalized Frobenius partitions. It is shown that such objects have numerous interactions with modular forms, Kloosterman quadratic forms, the Lusztig-Macdonald-Wall conjectures as well as with classical theta functions and additive number theory.
Author | : Kathrin Bringmann |
Publisher | : American Mathematical Soc. |
Total Pages | : 391 |
Release | : 2017-12-15 |
Genre | : Forms (Mathematics) |
ISBN | : 1470419440 |
Download Harmonic Maass Forms and Mock Modular Forms: Theory and Applications Book in PDF, ePub and Kindle
Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.
Author | : George E. Andrews |
Publisher | : Springer |
Total Pages | : 430 |
Release | : 2018-09-05 |
Genre | : Mathematics |
ISBN | : 331977834X |
Download Ramanujan's Lost Notebook Book in PDF, ePub and Kindle
In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This fifth and final installment of the authors’ examination of Ramanujan’s lost notebook focuses on the mock theta functions first introduced in Ramanujan’s famous Last Letter. This volume proves all of the assertions about mock theta functions in the lost notebook and in the Last Letter, particularly the celebrated mock theta conjectures. Other topics feature Ramanujan’s many elegant Euler products and the remaining entries on continued fractions not discussed in the preceding volumes. Review from the second volume:"Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."- MathSciNet Review from the first volume:"Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."- Gazette of the Australian Mathematical Society
Author | : Tobias Mühlenbruch |
Publisher | : Springer Nature |
Total Pages | : 527 |
Release | : 2020-05-06 |
Genre | : Mathematics |
ISBN | : 3030404757 |
Download On the Theory of Maass Wave Forms Book in PDF, ePub and Kindle
This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field. Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and 5 contain the book’s main focus: L-functions and period functions associated with families of Maass wave forms. Other topics include Maass wave forms of real weight, Maass cusp forms, and weak harmonic Maass wave forms. Engaging exercises appear throughout the book, with solutions available online. On the Theory of Maass Wave Forms is ideal for graduate students and researchers entering the area. Readers in mathematical physics and other related disciplines will find this a useful reference as well. Knowledge of complex analysis, real analysis, and abstract algebra is required.