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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications, Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen


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Цена: 82770.00T
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Автор: Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen
Название:  Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
ISBN: 9781470419448
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470419440
Обложка/Формат: Hardback
Страницы: 391
Вес: 0.85 кг.
Дата издания: 30.12.2017
Серия: Mathematics
Язык: English
Размер: 186 x 263 x 27
Читательская аудитория: Professional and scholarly
Ключевые слова: Number theory
Поставляется из: Англии
Описание: 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 Ramanujans 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.
Дополнительное описание: Number theory


Computations with Modular Forms

Автор: Gebhard B?ckle; Gabor Wiese
Название: Computations with Modular Forms
ISBN: 3319354795 ISBN-13(EAN): 9783319354798
Издательство: Springer
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Цена: 116450.00 T
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Описание: Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells.- Computing with Algebraic Automorphic Forms by D. Loeffler.- Overconvergent Modular Symbols by R. Pollack.- Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Aranйs.- Computing Weight One Modular Forms over C and Fp by K. Buzzard.- Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight.- Efficient Computation of Rankin p-Adic L-Functions by A.G.B. Lauder.- Formes Modulaires Modulo 2 et Composantes Rйelles de Jacobiennes Modulaires by L.Merel.- Universal Hecke L-Series Associated with Cuspidal Eigenforms over Imaginary Quadratic Fields by A. Mohamed.- On Higher Congruences Between Cusp Forms and Eisenstein Series by B. Naskrecki.- Arithmetic Aspects of Bianchi Groups by M.H.Sengьn.- A Possible Generalization of Maeda's Conjecture by P. Tsaknias.- Computing Power Series Expansions of Modular Forms by J. Voight and J. Willis.- Computing Modular Forms for GL2 over Certain Number Fields by D. Yasaki.

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Автор: Ali Baklouti; Takaaki Nomura
Название: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
ISBN: 3319651803 ISBN-13(EAN): 9783319651804
Издательство: Springer
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Цена: 102480.00 T
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Описание: It also includes the most recent developments on other areas of mathematics including algebra and geometry.Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical research.

Analytic Number Theory, Modular Forms and q-Hypergeometric Series

Автор: Frank Garvan; George Andrews
Название: Analytic Number Theory, Modular Forms and q-Hypergeometric Series
ISBN: 3319683756 ISBN-13(EAN): 9783319683751
Издательство: Springer
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Цена: 214280.00 T
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Описание: Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory.

Singular Modular Forms and Theta Relations

Автор: Eberhard Freitag
Название: Singular Modular Forms and Theta Relations
ISBN: 3540547045 ISBN-13(EAN): 9783540547044
Издательство: Springer
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Цена: 23250.00 T
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Описание: This research monograph reports on recent work on the theory of singular Siegel modular forms of arbitrary level. Singular modular forms are represented as linear combinations of theta series. The reader is assumed to know only the basic theory of Siegel modular forms.

Partitions, q-Series, and Modular Forms

Автор: Krishnaswami Alladi; Frank Garvan
Название: Partitions, q-Series, and Modular Forms
ISBN: 1493901869 ISBN-13(EAN): 9781493901869
Издательство: Springer
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Цена: 130430.00 T
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Описание: This unique volume describes recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions. It grew out of a conference at the University of Florida.

Gauss–Manin Connection in Disguise: Calabi–Yau Modular Forms

Автор: Hossein Movasati
Название: Gauss–Manin Connection in Disguise: Calabi–Yau Modular Forms
ISBN: 1571463437 ISBN-13(EAN): 9781571463432
Издательство: Mare Nostrum (Eurospan)
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Цена: 34190.00 T
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Описание: Constructs a theory of modular forms for families of Calabi-Yau threefolds with Hodge numbers of the third cohomology equal to one. It discusses many differences and similarities between the new theory and the classical theory of modular forms defined on the upper half plane.


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