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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

By: Kathrin Bringmann,Amanda Folsom,Ken Ono,Larry Rolen

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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

By: Kathrin Bringmann,Amanda Folsom,Ken Ono,Larry Rolen

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.

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Page Count

409

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470419440

ISBN 13

9781470419448

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

By: Kathrin Bringmann,Amanda Folsom,Ken Ono,Larry Rolen

Write a review Read reviews Take a Quiz Solve Book Puzzle

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

By: Kathrin Bringmann,Amanda Folsom,Ken Ono,Larry Rolen

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

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Solve jigsaw puzzle

Age

Page Count

409

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470419440

ISBN 13

9781470419448

Book's by Kathrin Bringmann

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

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