کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772542 | 1630637 | 2017 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Eichler-Shimura isomorphism in higher level cases and its applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Eichler-Shimura isomorphism in higher level cases and its applications Eichler-Shimura isomorphism in higher level cases and its applications](/preview/png/5772542.png)
چکیده انگلیسی
Let Î be a Fuchsian group of the first kind. The Eichler-Shimura isomorphism states that the space Sk(Î) is isomorphic to the first (parabolic) cohomology group associated to the Î-module Rkâ1 with an appropriate Î-action. Manin reformulated the Eichler-Shimura isomorphism for the case Î=SL2(Z) in terms of periods of cusp forms. In this paper we extend Manin's reformulation to the case Î=Î0+(p) with pâ{2,3}. The Manin relations describe relations between periods of cusp forms by using Hecke operators and continued fractions. We also extend the Manin relations and homogeneity theorem to cusp forms on Î0+(2) without using continued fractions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 177, August 2017, Pages 353-380
Journal: Journal of Number Theory - Volume 177, August 2017, Pages 353-380
نویسندگان
SoYoung Choi, Chang Heon Kim,