Harmonic Maass forms and mock modular forms : theory and applications
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The work Harmonic Maass forms and mock modular forms : theory and applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Harmonic Maass forms and mock modular forms : theory and applications
Resource Information
The work Harmonic Maass forms and mock modular forms : theory and applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Harmonic Maass forms and mock modular forms : theory and applications
 Title remainder
 theory and applications
 Statement of responsibility
 Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen
 Subject

 Number theory  Discontinuous groups and automorphic forms  Holomorphic modular forms of integral weight
 Number theory
 Forms (Mathematics)
 Number theory
 Forms, Modular
 Forms (Mathematics)
 Number theory  Discontinuous groups and automorphic forms  Theta series; Weil representation; theta correspondences
 Number theory  Discontinuous groups and automorphic forms  Forms of halfinteger weight; nonholomorphic modular forms
 Forms, Modular
 Number theory  Discontinuous groups and automorphic forms  Jacobi forms
 Number theory  Discontinuous groups and automorphic forms  Modular and automorphic functions
 Number theory  Discontinuous groups and automorphic forms  Fourier coefficients of automorphic forms
 Language
 eng
 Summary
 Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 1015 years, this theory has been extended to certain nonholomorphic functions, the socalled ``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
 Cataloging source
 DLC
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA3
 LC item number
 .F03 v. 64
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 American Mathematical Society Colloquium Publications
 Series volume
 volume 64
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