Introductory Lectures on Siegel Modular Forms


Author: Helmut Klingen
Publisher: Cambridge University Press
ISBN: 0521350522
Category: Mathematics
Page: 162
View: 9609
DOWNLOAD NOW »
A straightforward and easily accessible survey of the main ideas of the theory at an elementary level.

Introduction to Siegel Modular Forms and Dirichlet Series


Author: Anatoli Andrianov
Publisher: Springer Science & Business Media
ISBN: 0387787534
Category: Mathematics
Page: 184
View: 7741
DOWNLOAD NOW »
Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The idea to present in a concise but basically complete and self-contained form an int- duction to an important and developing area based partly on my own work attracted me. I accepted the invitation and started to prepare the course. Unfortunately, the visit was not realized. But the idea of such a course continued to be alive till after a number of years this book was ?nally completed. I hope that this short book will serve to attract young researchers to this beautiful ?eld, and that it will simplify and make more pleasant the initial steps. No special knowledge is presupposed for reading this book beyond standard courses in algebra and calculus (one and several variables), although some skill in working with mathematical texts would be helpful. The reader will judge whether the result was worth the effort. Dedications. The ideas of Goro Shimura exerted a deep in?uence on the number theory of the second half of the twentieth century in general and on the author’s formation in particular. When Andre ` Weil was signing a copy of his “Basic Number Theory” to my son, he wrote in Russian, ”To Fedor Anatolievich hoping that he will become a number theoretist”. Fedor has chosen computer science. Now I pass on the idea to Fedor’s daughter, Alexandra Fedorovna.

The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway
Author: Jan Hendrik Bruinier,Gerard van der Geer,Günter Harder,Don Zagier
Publisher: Springer Science & Business Media
ISBN: 9783540741190
Category: Mathematics
Page: 266
View: 7649
DOWNLOAD NOW »
This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.

Number Theory and Applications

Proceedings of the International Conferences on Number Theory and Cryptography
Author: S.D. Adhikari,B. Ramakrishnan
Publisher: Springer
ISBN: 9386279460
Category: Mathematics
Page: 288
View: 3899
DOWNLOAD NOW »
This collection of articles contains the proceedings of the two international conferences (on Number Theory and Cryptography) held at the Harish - Chandra Research Institute. In recent years the interest in number theory has increased due to its applications in areas like error-correcting codes and cryptography. These proceedings contain papers in various areas of number theory, such as combinatorial, algebraic, analytic and transcendental aspects, arithmetic algebraic geometry, as well as graph theory and cryptography. While some papers do contain new results, several of the papers are expository articles that mention open questions, which will be useful to young researchers.

Siegel modular forms and L-functions of exponential sums

proceedings : Sogang University Minicourses in Number Theory : January 4-8, 1999
Author: Dae San Kim,YoungJu Choie,Sŏgang Taehakkyo. Dept. of Mathematics
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 65
View: 857
DOWNLOAD NOW »


Reviews in Number Theory, 1984-96

As Printed in Mathematical Reviews
Author: N.A
Publisher: Amer Mathematical Society
ISBN: 9780821809372
Category: Mathematics
Page: 1012
View: 9699
DOWNLOAD NOW »
These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.

Seminar on mathematical sciences


Author: Keiō Gijuku Daigaku. Sūri Kōgakuka
Publisher: N.A
ISBN: N.A
Category: Education
Page: N.A
View: 3253
DOWNLOAD NOW »


Journal of the Mathematical Society of Japan


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 7633
DOWNLOAD NOW »


Notices of the American Mathematical Society


Author: American Mathematical Society
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 5704
DOWNLOAD NOW »


Saito-Kurokawa liftw, L-values for GL[subscript 2], and congruences between Siegel modular forms


Author: Jim L. Brown
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 977
DOWNLOAD NOW »


Current Trends In Number Theory


Author: Sukumar Das Adhikari
Publisher: N.A
ISBN: 9788185931333
Category: Number theory
Page: 270
View: 6353
DOWNLOAD NOW »


Bibliographic Index


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Bibliographical literature
Page: N.A
View: 6541
DOWNLOAD NOW »


Mathematical Reviews


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 1687
DOWNLOAD NOW »


Introduction to Foliations and Lie Groupoids


Author: I. Moerdijk,J. Mrcun
Publisher: Cambridge University Press
ISBN: 9781139438988
Category: Mathematics
Page: N.A
View: 9635
DOWNLOAD NOW »
This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.

The Cumulative Book Index


Author: N.A
Publisher: N.A
ISBN: N.A
Category: American literature
Page: N.A
View: 6450
DOWNLOAD NOW »


Books in Print


Author: N.A
Publisher: N.A
ISBN: N.A
Category: American literature
Page: N.A
View: 7712
DOWNLOAD NOW »


Transfer of Siegel Cusp Forms of Degree 2


Author: Ameya Pitale,Abhishek Saha,Ralf Schmidt
Publisher: American Mathematical Soc.
ISBN: 0821898566
Category: Mathematics
Page: 107
View: 4674
DOWNLOAD NOW »
Let be the automorphic representation of generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and be an arbitrary cuspidal, automorphic representation of . Using Furusawa's integral representation for combined with a pullback formula involving the unitary group , the authors prove that the -functions are "nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations have a functorial lifting to a cuspidal representation of . Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of to a cuspidal representation of . As an application, the authors obtain analytic properties of various -functions related to full level Siegel cusp forms. They also obtain special value results for and

Lectures on Siegel modular forms and representation by quadratic forms


Author: Yoshiyuki Kitaoka
Publisher: Not Avail
ISBN: 9783540164722
Category: Mathematics
Page: 227
View: 1174
DOWNLOAD NOW »


Annales de l'Institut Fourier


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 2460
DOWNLOAD NOW »