The web of modularity : arithmetic of the coefficients of modular forms and q-series / Ken Ono.

Format:

Book

Author/Creator:

Ono, Ken, 1968- author.

Series:

Regional conference series in mathematics ; no. 102.

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 102

Language:

English

Subjects (All):

Forms, Modular.

q-series.

Physical Description:

1 online resource (xii, 129 pages)

Place of Publication:

Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society with support from the National Science Foundation, c2004.

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Basic facts Chapter 2. Integer weight modular forms Chapter 3. Half-integral weight modular forms Chapter 4. Product expansions of modular forms on $\mathrm {SL}_2(\mathbb {Z})$ Chapter 5. Partitions Chapter 6. Weierstrass points on modular curves Chapter 7. Traces of singular moduli and class equations Chapter 8. Class numbers of quadratic fields Chapter 9. Central values of modular $L$-functions and applications Chapter 10. Basic hypergeometric generating functions for $L$-values Chapter 11. Gaussian hypergeometric functions

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Ono, Ken, 1968- web of modularity :

ISBN:

9781470417574 (online)

Access Restriction:

Restricted for use by site license.