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Spectral Decomposition and Eisenstein Series

1995-11-02 Mathematics
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Release : 1995-11-02
Genre : Mathematics
Kind : eBook
Book Rating : 935/5 ( reviews)

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Book Synopsis Spectral Decomposition and Eisenstein Series by : Colette Moeglin

Download or read book Spectral Decomposition and Eisenstein Series written by Colette Moeglin. This book was released on 1995-11-02. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to automorphic forms, and Eisenstein series and pseudo-series, proving some of Langlands' work at the intersection of number theory and group theory.

Spectral Decomposition of a Covering of $GL(r)$: the Borel case

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 758/5 ( reviews)

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Book Synopsis Spectral Decomposition of a Covering of $GL(r)$: the Borel case by : Heng Sun

Download or read book Spectral Decomposition of a Covering of $GL(r)$: the Borel case written by Heng Sun. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r, {\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$

Eisenstein Series and Applications

2007-12-22 Mathematics
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Release : 2007-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 396/5 ( reviews)

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Book Synopsis Eisenstein Series and Applications by : Wee Teck Gan

Download or read book Eisenstein Series and Applications written by Wee Teck Gan. This book was released on 2007-12-22. Available in PDF, EPUB and Kindle. Book excerpt: Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.

Spectral Methods of Automorphic Forms

2021-11-17 Mathematics
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Release : 2021-11-17
Genre : Mathematics
Kind : eBook
Book Rating : 228/5 ( reviews)

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Book Synopsis Spectral Methods of Automorphic Forms by : Henryk Iwaniec

Download or read book Spectral Methods of Automorphic Forms written by Henryk Iwaniec. This book was released on 2021-11-17. Available in PDF, EPUB and Kindle. Book excerpt: Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.

On the Functional Equations Satisfied by Eisenstein Series

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 701/5 ( reviews)

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Book Synopsis On the Functional Equations Satisfied by Eisenstein Series by : Robert P. Langlands

Download or read book On the Functional Equations Satisfied by Eisenstein Series written by Robert P. Langlands. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:

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