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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications (Colloquium Publications, 64, Band 64) - Softcover

Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry

 
9781470479848: Harmonic Maass Forms and Mock Modular Forms: Theory and Applications (Colloquium Publications, 64, Band 64)
Softcover
ISBN 10: 1470479842 ISBN 13: 9781470479848
Verlag: American Mathematical Society, 2025

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Kathrin Bringmann, University of Cologne, Germany.

Amanda Folsom, Amherst College, MA.

Ken Ono, Emory University, Atlanta, GA.

Larry Rolen, Trinity College, Dublin, Ireland.

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Verlag
American Mathematical Society
Erscheinungsdatum
2025
Sprache
Englisch
ISBN 10 
1470479842
ISBN 13 
9781470479848
Einband
Taschenbuch
Anzahl der Seiten
391
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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Breda
4831 GR
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