On Artin's conjecture for odd 2-dimensional representations

＜図書＞
On Artin's conjecture for odd 2-dimensional representations

責任表示	G. Frey (ed.) ; [authors, Jacques Basmaji ... et al.]
シリーズ	Lecture notes in mathematics ; 1585
データ種別	図書
出版情報	Berlin ; New York : Springer-Verlag , c1994
本文言語	英語
大きさ	vi, 148 p. : ill. ; 24 cm
概要	The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to deter...ine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms. The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018889

一般注記	Includes bibliographical references
著者標目	Frey, Gerhard, 1944- Basmaji, Jacques
件　名	LCSH:Artin's conjecture LCSH:Forms, Modular LCSH:Functions, Zeta
分　類	NDC8:410.8 LCC:QA3 LCC:QA351 DC20:510 s DC20:512/.73
書誌ID	1000468132
ISBN	3540583874
NCID	BA23704491
巻冊次	: gw ; ISBN:3540583874 ; PRICE:DM42.00 : us ; ISBN:0387583874
登録日	2009.09.14
更新日	2017.02.18