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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Format: | Article |
Language: | English |
Published: |
2020
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Online Access: | https://hdl.handle.net/10356/143236 |
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Institution: | Nanyang Technological University |
Language: | English |