Harmonic Maass Forms and Mock Modular Forms: Theory and Applications - Couverture souple

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

 
9781470479848: Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
Couverture souple
ISBN 10 : 1470479842 ISBN 13 : 9781470479848
Editeur : American Mathematical Society, 2017

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Kathrin Bringmann, University of Cologne, Germany.

Amanda Folsom, Amherst College, MA.

Ken Ono, Emory University, Atlanta, GA.

Larry Rolen, Trinity College, Dublin, Ireland.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2017
Langue
anglais
ISBN 10 
1470479842
ISBN 13 
9781470479848
Reliure
Broché
Nombre de pages
391
Coordonnées du fabricant
non disponible
Personne responsable
non disponible