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

• المؤلف الرئيسي: Aygin, Zafer Selcuk
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2020
• الموضوعات: Science::Mathematics; Sum of Divisors Function; Convolution Sums
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/143236
• المؤسسة: Nanyang Technological University

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...