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Harmonic Maass Forms and Mock Modular Forms

Kathrin Bringmann
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      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.
      Format: Hardback CONTRIBUTORS: Kathrin Bringmann EAN: 9781470419448 COUNTRY: United States PAGES: WEIGHT: 825 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2017-11-01 CITY: GENRE: MATHEMATICS / Number Theory WIDTH: 178 cm SPINE:

      Book Themes:

      Number theory

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      Kathrin Bringmann, University of Cologne, Germany.Amanda Folsom, Amherst College, MA.Ken Ono, Emory University, Atlanta, GA.Larry Rolen, Trinity College, Dublin, Ireland.
      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.
      Format: Hardback CONTRIBUTORS: Kathrin Bringmann EAN: 9781470419448 COUNTRY: United States PAGES: WEIGHT: 825 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2017-11-01 CITY: GENRE: MATHEMATICS / Number Theory WIDTH: 178 cm SPINE:

      Book Themes:

      Number theory

      Customer Reviews

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      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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