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The Web of Modularity
Ken Ono
€ 83.58
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Description for The Web of Modularity
Paperback. Modular forms appear in many ways in number theory. This book details various roles that modular forms and $q$-series play in number theory, such as applications and connections to basic hypergeometric functions, Gaussian hypergeometric functions, super-congruences, Weierstrass points on modular curves, singular moduli, and class numbers. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 216 pages. BIC Classification: PBH. Category: (G) General (US: Trade); (P) Professional & Vocational. Dimension: 256 x 176 x 12. Weight in Grams: 378.
Modular forms appear in many ways in number theory. They play a central role in the theory of quadratic forms, in particular, as generating functions for the number of representations of integers by positive definite quadratic forms. They are also key players in the recent spectacular proof of Fermat's Last Theorem. Modular forms are at the center of an immense amount of current research activity. Also detailed in this volume are other roles that modular forms and $q$-series play in number theory, such as applications and connections to basic hypergeometric functions, Gaussian hypergeometric functions, super-congruences, Weierstrass points on modular curves, singular moduli, class numbers, $L$-values, and elliptic curves.The first three chapters provide some basic facts and results on modular forms, which set the stage for the advanced areas that are treated in the remainder of the book. Ono gives ample motivation on topics where modular forms play a role. Rather than cataloging all of the known results, he highlights those that give their flavor. At the end of most chapters, he gives open problems and questions. The book is an excellent resource for advanced graduate students and researchers interested in number theory.
Product Details
Format
Paperback
Publication date
2003
Publisher
American Mathematical Society United States
Number of pages
216
Condition
New
Series
CBMS Regional Conference Series in Mathematics
Number of Pages
216
Place of Publication
Providence, United States
ISBN
9780821833681
SKU
V9780821833681
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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