Partitions, q-Series, and Modular Forms
Title | Partitions, q-Series, and Modular Forms PDF eBook |
Author | Krishnaswami Alladi |
Publisher | Springer Science & Business Media |
Total Pages | 233 |
Release | 2011-11-01 |
Genre | Mathematics |
ISBN | 1461400287 |
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.
Partitions, Q-Series, and Modular Forms
Title | Partitions, Q-Series, and Modular Forms PDF eBook |
Author | |
Publisher | |
Total Pages | 238 |
Release | 2011-11-02 |
Genre | |
ISBN | 9781461400295 |
Partitions, q-Series, and Modular Forms
Title | Partitions, q-Series, and Modular Forms PDF eBook |
Author | Krishnaswami Alladi |
Publisher | Springer |
Total Pages | 224 |
Release | 2011-11-01 |
Genre | Mathematics |
ISBN | 9781461400271 |
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.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series
Title | Analytic Number Theory, Modular Forms and q-Hypergeometric Series PDF eBook |
Author | George E. Andrews |
Publisher | Springer |
Total Pages | 736 |
Release | 2018-02-01 |
Genre | Mathematics |
ISBN | 3319683764 |
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.
The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series
Title | The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series PDF eBook |
Author | Ken Ono |
Publisher | American Mathematical Soc. |
Total Pages | 226 |
Release | 2004 |
Genre | Mathematics |
ISBN | 0821833685 |
Chapter 1.
Generalized Frobenius Partitions
Title | Generalized Frobenius Partitions PDF eBook |
Author | George E. Andrews |
Publisher | American Mathematical Soc. |
Total Pages | 50 |
Release | 1984 |
Genre | Mathematics |
ISBN | 0821823027 |
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.
Number Theory and Modular Forms
Title | Number Theory and Modular Forms PDF eBook |
Author | Bruce C. Berndt |
Publisher | Springer Science & Business Media |
Total Pages | 392 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 1475760442 |
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.