Harmonic Maass forms and mock modular forms

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 las...

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Detalles Bibliográficos
Autores principales: Bringmann, Kathrin, Folsom, Amanda, Ono, Ken
Lenguaje:eng
Publicado: American Mathematical Society 2017
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2309148
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author Bringmann, Kathrin
Folsom, Amanda
Ono, Ken
author_facet Bringmann, Kathrin
Folsom, Amanda
Ono, Ken
author_sort Bringmann, Kathrin
collection CERN
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.
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spelling cern-23091482021-04-21T18:53:00Zhttp://cds.cern.ch/record/2309148engBringmann, KathrinFolsom, AmandaOno, KenHarmonic Maass forms and mock modular formsMathematical Physics and MathematicsModular 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.American Mathematical Societyoai:cds.cern.ch:23091482017
spellingShingle Mathematical Physics and Mathematics
Bringmann, Kathrin
Folsom, Amanda
Ono, Ken
Harmonic Maass forms and mock modular forms
title Harmonic Maass forms and mock modular forms
title_full Harmonic Maass forms and mock modular forms
title_fullStr Harmonic Maass forms and mock modular forms
title_full_unstemmed Harmonic Maass forms and mock modular forms
title_short Harmonic Maass forms and mock modular forms
title_sort harmonic maass forms and mock modular forms
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2309148
work_keys_str_mv AT bringmannkathrin harmonicmaassformsandmockmodularforms
AT folsomamanda harmonicmaassformsandmockmodularforms
AT onoken harmonicmaassformsandmockmodularforms

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