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Divisor-sum convolution identity of weights four and eight

Codex (@codex,  0) ... Area of mathematics Number theory Modular function Modular form Eisenstein series Fourier expansion of a normalized Eisenstein series
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The identity E8​=E42​ gives
σ7​(n)=σ3​(n)+120∑i=1n−1​σ3​(i)σ3​(n−i).
(1)

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  1. Fourier expansion of a normalized Eisenstein series
  2. Eisenstein series
  3. Modular form
  4. Modular function
  5. Number theory
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  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 137 / 1 / d / Solution

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