Diophantine Approximation and Dirichlet Series, Queffйlec Hervй, Queffйlec Martine

Автор: Tom M. Apostol
Название: Modular Functions and Dirichlet Series in Number Theory
ISBN: 1461269784 ISBN-13(EAN): 9781461269786
Издательство: Springer
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Описание: A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function.

Автор: Goro Shimura
Название: Elementary Dirichlet Series and Modular Forms
ISBN: 1441924787 ISBN-13(EAN): 9781441924780
Издательство: Springer
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Описание: A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives. Also, the author may be encouraged to include new results, provided that they help the reader gain newinsightsandarepresentedalongwithknownoldresultsinaclearexposition. Itis with this philosophy that Iwrite this volume. The two subjects, Dirichlet series and modular forms, are traditional, but I treat them in both orthodox and unorthodox ways. However, I try to make the book accessible to those who are not familiar with such topics, by including plenty of expository material. More speci?c descriptions of the contents will be given in the Introduction. To some extent, this book has a supplementary nature to my previous book Introduction to the Arithmetic Theory of Automorphic Functions, published by Princeton University Press in 1971, though I do not write the present book with that intent. While the 1971 book grew out of my lectures in various places, the essential points of this new book have never been presented publicly or privately. I hope that it will draw an audience as large as that of the previous book.

Автор: A. Weil
Название: Dirichlet Series and Automorphic Forms
ISBN: 3540053824 ISBN-13(EAN): 9783540053828
Издательство: Springer
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Автор: Hans Maa?
Название: Siegel`s Modular Forms and Dirichlet Series
ISBN: 3540055630 ISBN-13(EAN): 9783540055631
Издательство: Springer
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Описание: "Siegel`s Modular Forms and Dirichlet Series".

Автор: Gianfausto Dell`Antonio; E. Fabes; M. Fukushima; U
Название: Dirichlet Forms
ISBN: 3540574212 ISBN-13(EAN): 9783540574217
Издательство: Springer
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Описание: An exploration of the theory of Dirichlet forms, which covers recent research developments both in theoretical foundations and in such applications as stochastic processes, regularity problems, the hypercontractivity of semigroups and logarithmic Sobolev inequalities.

Автор: Andreas Defant, Domingo Garcia, Manuel Maestre, Pablo Sevilla-Peris
Название: Dirichlet Series and Holomorphic Functions in High Dimensions
ISBN: 1108476716 ISBN-13(EAN): 9781108476713
Издательство: Cambridge Academ
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Описание: Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series. In recent years there has been a substantial revival of interest in this topic, and the goal of this book is to describe in detail some of its key elements to a wide audience.

Автор: Jan Chabrowski
Название: The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations
ISBN: 3540544860 ISBN-13(EAN): 9783540544869
Издательство: Springer
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Описание: This monograph explores recent advances in the study of the Dirichlet problem with L2-boundary data, featuring the use of weighted Sobolev spaces. Some basic knowledge of Sobolev spaces and measure theory is required.