Atkin and Swinnerton-Dyer congruences associated to Fermat curves

碩士 === 國立交通大學 === 應用數學系所 === 99 === It is known that each Fermat curve x^n+y^n=1 is the modular curve associated to some subgroup Γ_n of SL_2(Z) of finite index. Moreover if n≠1,2,4,8 then Γ_n is a noncongruence subgroup. Let g be the genus of the Fermat curve, by Scholl’s theorem, cuspforms of we...

Full description

Bibliographic Details
Main Authors: Lin, Yi-Hsuan, 林易萱
Other Authors: Yang, Yifan
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/96866026961121089924