Das, Arkabrata and Kumar, Narasimha
(2019)
A study on the coefficients of Eisenstein elements of prime square level.
Masters thesis, Indian institute of technology Hyderabad.
Abstract
The Manin-Drinfeld theorem is an important result of the theory of modular forms on the existing of an isomorphism between the space of Eisenstein series E2(T0(N)) and a first homology group H1(X0(N)3 Z) of a modular curve X0(N). Explicitly such an isomorphism was first constructed in [1] in the case when N = p is prime. In the thesis we review the structure of an isomorphism in the case when N = p2 and p ≥ 3 is prime.
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