2 edition of **Automorphic functions.** found in the catalog.

Automorphic functions.

Ford, Lester R.

- 55 Want to read
- 30 Currently reading

Published
**1951**
by Chelsea Pub. Co. in New York
.

Written in English

- Automorphic functions.

**Edition Notes**

Bibliography: p. 311-323.

Classifications | |
---|---|

LC Classifications | QA351 F |

The Physical Object | |

Pagination | xii, 333 p. |

Number of Pages | 333 |

ID Numbers | |

Open Library | OL22140021M |

LC Control Number | 29017747 |

Automorphic L-functions, F. Shahidi. Volume II. Automorphic forms and Galois representations: some examples, Don Blasius. Non-abelian Lubin-Tate theory, H. Carayol. Automorphic forms and the cohomology of vector bundles on Shimura varieties, Michael Harris. p-adic L-functions for base change lifts of GL 2 to GL 3, Haruzo Hida. The theory of automorphic functions in which Poincare did pioneering work led eventually to the proof of 'Fermat's last theorem'. C S Yogananda Introduction Poincare's work in the theory of automorphic functions is a beautiful example of how one simple idea could unite and clarify results in different areas of mathematics; and he has.

Additional Physical Format: Online version: Ford, Lester R., b. Automorphic functions. New York, Chelsea Pub. Co., (OCoLC) Material Type. From the reviews: “This book covers, in a readable and clear style, the main aspects of the theory of automorphic forms with minimal prerequisites. this book would serve very well as a one-semester course on automorphic forms, representations, and : Springer-Verlag London.

Automorphic functions februar [Möb] 1 Möbius transformations 1. Möbius transformations. () Setup. The general linear group GL2(C)consists of all 2 × 2 matrices with complex entries and non-zero determinant, α= ab cd where ad−bc= 0. () The special linear group SL2(C)is the subgroup formed by matrices () for which the. Automorphic Functions by Lester R Ford starting at $ Automorphic Functions has 2 available editions to buy at Half Price Books Marketplace.

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Lester Ford's book was the first treatise in English on automorphic functions. At the time of its publication (), it was welcomed for its elegant treatment of groups of linear transformations and for the remarkably clear and explicit exposition throughout the book.5/5(1).

Lester Ford's book was the first treatise in English on automorphic functions. At the time of its publication (), it was welcomed for its elegant treatment of groups of linear transformations and for the remarkably clear and explicit exposition throughout the book.

Ford's extraordinary talent for writing has been memorialized in the prestigious award that bears his name.5/5(1). Condition: New. Paperback. This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups.

The text begins with the basics of ng may be from multiple locations in the US or from the UK, depending on stock availability.

pages. Chapter two develops automorphic functions and forms via the Poincaré series. Formulas for divisors of a function and form are proved and their consequences analyzed. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch by: Lester Ford's book was the first treatise in English on automorphic functions.

At the time of its publication (), it was welcomed for its elegant treatment of groups of linear transformations and for the remarkably clear and explicit exposition throughout the book. This nice little book was originally published in in the famous “Athena Series” of short mathematical monographs.

It offers a very clear, if somewhat old-fashioned, introduction to the classical theory of discontinuous groups and automorphic functions. A meromorphic function of several complex variables that is invariant under some discrete group of transformations $ \Gamma $ of analytic transformations of a given complex manifold $ M $: $$ f (\gamma (x)) = f (x), x \in M, \gamma \in \Gamma.

$$ Automorphic functions are often defined so as to include only functions defined on a bounded connected domain $ D $ of the $ n.

reduced to ﬁnding an automorphic function on the domain. A meromorphic function is said to be automorphic with respect to a group of maps if the action of the maps leaves the value of the function unchanged: letting Γ denote the group, a meromorphic function f(z) is.

Also @amazon: Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics), by Daniel Bump. Video Lectures. See *Automorphic Forms_Arithmetic Applications* for a video presentation that is one of the Institute for Advanced Study Video Lectures.

The full title: Automorphic forms: Arithmetic applications of automorphic forms. A Short Course in Automorphic Functions - Ebook written by Joseph Lehner. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read A Short Course in Automorphic : Joseph Lehner.

Search within book. Front Matter. Pages I-V. PDF. Introduction. Goro Shimura. Pages Automorphic functions on the upper half plane, especially modular functions. Goro Shimura. Pages Elliptic curves and the fundamental theorems of the classical theory of complex multiplication.

Analytic Properties of Automorphic L-Functions is a three-chapter text that covers considerable research works on the automorphic L-functions attached by Langlands to reductive algebraic groups. Chapter I focuses on the analysis of Jacquet-Langlands methods and the Einstein series and Langlands’ so-called “Euler products”.

Automorphic Function in mathematics, an analytic function whose values do not change if its argument is subjected to certain linear fractional transformations. Automorphic functions include periodic functions and, in particular, elliptic functions. For example, if the transformations are integer-valued and have the form of z’ = z + ω, where ω is a.

In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient the space is a complex manifold and the group is a discrete group. Examples. Kleinian group; Elliptic modular function; Modular function; References.

Andrianov, A.N.; Parshin, A.N. () [], "Automorphic Function", in. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem.

The book was written by Jacques Hadamard on the work of Poincaré. Poincaré's creation of a theory of automorphic functions in the early s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary.

Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics.

Representation theory and automorphic functions. Izrail Moiseevich Gelfand, Mark Iosifovich Graev, Ilya Piatetski-Shapiro. Saunders, - Mathematics - pages. 0 Reviews. From inside the book. What people are saying - Write a review.

We haven't found any reviews in the usual places. Representation Theory and Automorphic Functions. 2 Automorphic representations and L-functions for GL(1,AQ)39 Automorphic forms for GL(1,AQ)39 The L-function of an automorphic form 45 The local L-functions and their functional equations 55 Classical L-functions and root numbers 60 Automorphic representations for GL(1,AQ)65 Hecke operators for GL(1,AQ) The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin–Selberg method and the triple L-function, examining this subject matter from many Cited by:.

ISBN: OCLC Number: Description: pages: illustrations ; 21 cm: Contents: Linear transformations --Groups of linear transformations --Fuchsian groups --Automorphic functions --The Poincaré theta series --The elementary groups --The elliptic modular functions --Conformal mapping --Uniformization, elementary and Fuchsian functions --Uniformization, groups.Scattering Theory for Automorphic Functions book.

Read reviews from world’s largest community for readers. The application by Fadeev and Pavlov of the La 5/5(1).Spectral methods of automorphic forms / Henryk Iwaniec.—2nd ed. p. cm. — (Graduate studies in mathematics, ISSN ; v. 53) First ed. published in Revista matem´atica iberoamericana in Includes bibliographical references and index.

ISBN (acid-free paper) 1. Automorphic functions. 2. Automorphic forms. 3.