9 edition of **On the functional equations satisfied by Eisenstein series** found in the catalog.

- 363 Want to read
- 11 Currently reading

Published
**1976**
by Springer-Verlag in Berlin, New York
.

Written in English

- Eisenstein series.,
- Functional equations.,
- Lie groups.,
- Automorphic forms.

**Edition Notes**

Includes bibliographies and index.

Statement | Robert P. Langlands. |

Series | Lecture notes in mathematics ; 544, Lecture notes in mathematics (Springer-Verlag) ;, 544. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 544, QA404 .L28 no. 544 |

The Physical Object | |

Pagination | v, 337 p. ; |

Number of Pages | 337 |

ID Numbers | |

Open Library | OL4898507M |

ISBN 10 | 038707872X |

LC Control Number | 76041389 |

On the Functional Equations Satisfied by Eisenstein. and, thanks to a large extent to developments within the theory of Eisenstein series itself, we now have a clearer picture of the theorems that will flow from the trace formula. However a great deal remains to be done, and a complete treatment of Eisenstein series, even imperfect, may be. In particular, we prove Arthur’s conjecture that the spherical constituent of an unramified principal series of a Chevalley group over any local field of characteristic zero is unitarizable if its Langlands parameter coincides with half the weighted marking of a coadjoint nilpotent orbit of the Langlands dual Lie algebra.

the Equations Functional On P. Langland Satisfied Robert Series Eisenstein by by by by Eisenstein the Satisfied Robert Langland Equations Series On Functional P.: $ On the Functional Equations Satisfied by Eisenstein Series by Robert P. Langland On the Functional. This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithmetic L-functions and p-adic L-functions. The approach is basically algebraic, and the treatment is elementary. No deep knowledge from algebraic geometry and representation theory is required. The author's main tool in dealing with these problems.

Get in Contact Contact your publishing editor directly with your proposals and questions.; Be(come) an Author All you need to know: Manuscript guidelines, tools, templates, and more ; Meet us at Conferences Stop by our booth, meet our editors and get acquainted with our multiformat publishing model.; Stay Informed Sign up for SpringerAlerts and stay up to date on the latest research in our. Spectral decomposition and Eisenstein series, volume of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge, Une paraphrase de l' .

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On the Functional Equations Satisfied by Eisenstein Series. Authors; Robert P. Langlands; Book. Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook.

USD Instant download; Readable on all devices; Own it forever; Local sales tax included if applicable. On the Functional Equations Satisfied by Eisenstein Series (Lecture Notes in Mathematics) th Edition by Robert P. Langlands (Author) › Visit Amazon's Robert P.

Langlands Page. Find all the books, read about the author, and more. See search results for this author. Are you an author. Cited by: Get this from a library. On the functional equations satisfied by Eisenstein series. [Robert P Langlands].

On the functional equations satisfied by Eisenstein series. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Robert P Langlands. On the Functional Equations Satisfied by Eisenstein Series On the Functional Equations Satisfied by Eisenstein Series.

Authors: Langlands, Robert P. Free Preview. Buy this book eBook 26 Book Title On the Functional Equations Satisfied by Eisenstein Series Authors. For series in one variable the argument is essentially the same as one sketched to me by Professor Selberg nearly two years ago, but for the series in several variables new arguments of a di erent nature are necessary.

In Section 7 the functional equations for the remaining Eisenstein series are derived in. Cite this chapter as: Langlands R.P.

() Eisenstein series. In: On the Functional Equations Satisfied by Eisenstein Series. Lecture Notes in Mathematics, vol I'd like to learn about Eisenstein series so I started reading "On the Functional Equations Satisfied by Eisenstein Series"by Langlands.

series so I started reading "On the Functional Equations Satisfied by Eisenstein Series"by Langlands. with the classical holomorphic Eisenstein series that you find in introductory books on modular.

On the Functional Equations Satisfied by Eisenstein Series 作者: Robert P. Langlands 出版社: Springer 出版年: 页数: 定价: USD 装帧: Paperback 丛. Let τ be a complex number with strictly positive imaginary the holomorphic Eisenstein series G 2k (τ) of weight 2k, where k ≥ 2 is an integer, by the following series: = ∑ (,) ∈ ∖ (,) (+).This series absolutely converges to a holomorphic function of τ in the upper half-plane and its Fourier expansion given below shows that it extends to a holomorphic function at τ = i∞.

for the series in several variables new arguments of a different nature are necessary. In Section 7 the functional equations for the remaining Eisenstein series are derived in the course of decomposition L2(Γ\G)into irreducible representations. I have been helped and encouraged by many people while investigating the Eisenstein series.

University of British Columbia. a diﬀerent nature are necessary. In Section 7 the functional equations for the remaining Eisenstein series are derived in the course of decomposition L2(Γ\G) into irreducible representations. I have been helped and encouraged by many people while investigating the Eisenstein series.

Eisenstein series (the book) This was written in and distributed for many years in a famous purple mimeographed document by the Yale University Mathematics Department.

It was later published in the Springer Lecture Notes series (volume #). The paper. format format format. On the notion of an automorphic representation. The study of Eisenstein series is a preliminary to the development of a trace formula, and the trace formula has been a long time evolving.

Not only does it present serious analytic difficulties, but also the uses to which it should be put have not been clear. {Robert P. Langlands}, title = {On the Functional Equations Satisfied by.

Meromorphicity of φ(J | Λ) and the Eisenstein Series ; CHAPTER 5 FUNCTIONAL EQUATIONS ; Introduction ; Functional Equations ; CHAPTER 6 THE GENERAL CASE OF SEVERAL CUSPS ; Introduction ; The Definition and Basic Properties of the Eisenstein Series ; The Compact. In mathematics, the simplest real analytic Eisenstein series is a special function of two variables.

It is used in the representation theory of SL(2,R) and in analytic number is closely related to the Epstein zeta function. There are many generalizations associated to more complicated groups. EISENSTEIN SERIES AND THE TRACE FORMULA JAMES ARTHUR The spectral theory of Eisenstein series was begun by Selberg.

It was completed by Langlands in a manuscript which was for a long time unpublished but which recently has appeared [I].

The main references are 1. Langlands, On the functional equations satisfied by Eisenstein series, Springer. My hope is that there exists a way to come to an understanding of Eisenstein series (their analytic properties and role) without the extremely daunting task of working through Moeglin-Waldspurger's Spectral Decomposition and Eisenstein series or Langlands' monograph (monolith?) On the Functional Equation satisfied by Eisenstein series.

The study of Eisenstein series is a preliminary to the development of a trace formula, and the trace formula has been a long time evolving. Not only does it present serious analytic difficulties, but also the uses to which it should be put have not been clear.

On the functional equation satisfied by Einstein series () Cached. Download. Chapter 2. Classical L-functions and Eisenstein series 25 § Euler's method 25 § Analytic continuation and the functional equation 33 § Hurwitz and Dirichlet L-functions 40 § Shintani L-functions 47 § L-functions of real quadratic field 54 § L-functions of imaginary quadratic fields 63 § Hecke L-functions of.Robert P.

Langlands, On the functional equations satisfied by Eisenstein series, Lecture Notes in Mathematics, Vol.Springer-Verlag, Berlin-New York, MR [15].The purpose of this paper is to solve various differential equations having Eisenstein series as coefficients using various tools and techniques.

The solutions are given in terms of modular forms.