Home » The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and Q-Series (Cbms Regional Conference Series in Mathematics) (Cbms Regional Conference Series in Mathematics) by Ken Ono
The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and Q-Series (Cbms Regional Conference Series in Mathematics) (Cbms Regional Conference Series in Mathematics) Ken Ono

The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and Q-Series (Cbms Regional Conference Series in Mathematics) (Cbms Regional Conference Series in Mathematics)

Ken Ono

Published December 22nd 2003
ISBN : 9780821833681
Paperback
216 pages
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 About the Book 

Modular forms appear in many ways in number theory. They play a central role in the theory of quadratic forms- in particular, they are 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 Fermats Last Theorem. Modular forms are currently at the center of an immense amount of research activity. Other roles that modular forms and q-series play in number theory are described in this book. In particular, 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 are described in detail.