Harmonic Maass Forms and Mock Modular Forms : Theory and Applications Hardback
by Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen
Part of the Colloquium Publications series
Hardback
Description
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:391 pages
- Publisher:American Mathematical Society
- Publication Date:30/12/2017
- Category:
- ISBN:9781470419448
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:391 pages
- Publisher:American Mathematical Society
- Publication Date:30/12/2017
- Category:
- ISBN:9781470419448
