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Partition Functions and Automorphic Forms, Gritsenko Valery A., Spiridonov Vyacheslav P.


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Автор: Gritsenko Valery A., Spiridonov Vyacheslav P.
Название:  Partition Functions and Automorphic Forms
ISBN: 9783030424022
Издательство: Springer
Классификация:



ISBN-10: 3030424022
Обложка/Формат: Paperback
Страницы: 415
Вес: 0.60 кг.
Дата издания: 10.07.2021
Язык: English
Размер: 23.39 x 15.60 x 2.24 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание:

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3, ...,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.




Automorphic Forms and L-Functions for the Group GL(n,R)

Автор: Goldfeld
Название: Automorphic Forms and L-Functions for the Group GL(n,R)
ISBN: 1107565022 ISBN-13(EAN): 9781107565029
Издательство: Cambridge Academ
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Цена: 9029.00 р.
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Описание: L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis, complex variable theory, and algebra.

Midnight`s Furies: The Deadly Legacy of India`s Partition

Автор: Hajari Nisid
Название: Midnight`s Furies: The Deadly Legacy of India`s Partition
ISBN: 0544705394 ISBN-13(EAN): 9780544705395
Издательство: Неизвестно
Цена: 3236.00 р.
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Описание: Named one of the best books of 2015 by NPR, Amazon, "Seattle Times," and "Shelf Awareness"
Afew bloody months in South Asia during the summer of 1947 explainthe world that troubles us today.
Nobody expected the liberation of India and birth of Pakistan to be so bloody it was supposed to be an answer to the dreams of Muslims and Hindus who had been ruled by the British for centuries. Jawaharlal Nehru, Gandhi s protege and the political leader of India, believed Indians were an inherently nonviolent, peaceful people. Pakistan s founder, Mohammad Ali Jinnah, was a secular lawyer, not a firebrand. But in August 1946, exactly a year before Independence, Calcutta erupted in street-gang fighting. A cycle of riots targeting Hindus, then Muslims, then Sikhs spiraled out of control. As the summer of 1947 approached, all three groups were heavily armed and on edge, and the British rushed to leave. Hell let loose. Trains carried Muslims west and Hindus east to their slaughter. Some of the most brutal and widespread ethnic cleansing in modern history erupted on both sides of the new border, searing a divide between India and Pakistan that remains a root cause of many evils. From jihadi terrorism to nuclear proliferation, the searing tale told in" Midnight s Furies" explains all too many of the headlines we read today."

Partition Functions and Automorphic Forms

Автор: Gritsenko Valery A., Spiridonov Vyacheslav P.
Название: Partition Functions and Automorphic Forms
ISBN: 3030423999 ISBN-13(EAN): 9783030423995
Издательство: Springer
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Цена: 8384.00 р.
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Описание:

A short introduction to the algebra, geometry, number theory and physics of moonshine.- Modified elliptic genus.- Superconformal indices and instanton partition functions.- On spinorial representations of involutory subalgebras of Kac-Moody algebras.- BPS spectra and invariants for three- and four-manifolds.- Introduction to the theory of elliptic hypergeometric integrals.- Feynman integrals and mirror symmetry.- Theory and applications of the elliptic Painlevй equation.


L-Functions and Automorphic Forms

Автор: Jan Hendrik Bruinier; Winfried Kohnen
Название: L-Functions and Automorphic Forms
ISBN: 3319697110 ISBN-13(EAN): 9783319697116
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways.

Spectral Theory of Automorphic Functions

Автор: A.B. Venkov
Название: Spectral Theory of Automorphic Functions
ISBN: 079230487X ISBN-13(EAN): 9780792304876
Издательство: Springer
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Цена: 10760.00 р.
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Описание: 'Et moi, ..., si j'avait su comment en revcnrr, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back. Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Explicit Constructions of Automorphic L-Functions

Автор: Stephen Gelbart; Ilya Piatetski-Shapiro; Stephen R
Название: Explicit Constructions of Automorphic L-Functions
ISBN: 3540178481 ISBN-13(EAN): 9783540178484
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Intends to derive the analytic continuation and functional equation of the L-functions attached by R P Langlands to automorphic representations of reductive algebraic groups. This book deals with L-functions for the simple classical groups; and with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n.

Almost Periodic and Almost Automorphic Functions in Abstract Spaces

Автор: N`Guйrйkata Gaston M.
Название: Almost Periodic and Almost Automorphic Functions in Abstract Spaces
ISBN: 3030737179 ISBN-13(EAN): 9783030737177
Издательство: Springer
Цена: 18167.00 р.
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Описание: This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations.

L-Functions and Automorphic Forms: Laf, Heidelberg, February 22-26, 2016

Автор: Bruinier Jan Hendrik, Kohnen Winfried
Название: L-Functions and Automorphic Forms: Laf, Heidelberg, February 22-26, 2016
ISBN: 3319888277 ISBN-13(EAN): 9783319888279
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways.

Spectral Theory of Automorphic Functions

Автор: A.B. Venkov
Название: Spectral Theory of Automorphic Functions
ISBN: 9401073449 ISBN-13(EAN): 9789401073448
Издательство: Springer
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Цена: 6986.00 р.
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Almost Automorphic and Almost Periodic Functions in Abstract Spaces

Автор: Gaston M. N`Gu?r?kata
Название: Almost Automorphic and Almost Periodic Functions in Abstract Spaces
ISBN: 1441933735 ISBN-13(EAN): 9781441933737
Издательство: Springer
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Цена: 24456.00 р.
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Описание: Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner`s sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner.


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