On Eisenstein series in M2k(Γ0(N)) and their applications

Let k, N ∈ N with N square-free and k > 1. We prove an orthogonal relation and use this to compute the Fourier coefficients of the Eisenstein part of any f(z) ∈ M2k(Γ0(N)) in terms of sum of divisors function. In particular, if f(z) ∈ E2k(Γ0(N)), then the computation will to yield to an expressio...

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Bibliographic Details
Main Author: Aygin, Zafer Selcuk
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/143236
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Institution: Nanyang Technological University
Language: English