Eisenstein series and convolution sums
We compute Fourier series expansions of weight 2 and weight 4 Eisenstein series at various cusps. Then we use results of these computations to give formulas for the convolution sums ∑a+pb=nσ(a)σ(b), ∑p1a+p2b=nσ(a)σ(b) and ∑a+p1p2b=nσ(a)σ(b) where p,p1,p2 are primes.
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| Format: | Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/143048 |
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| Institution: | Nanyang Technological University |
| Language: | English |