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Title: Eisenstein series and convolution sums
Authors: Aygin, Zafer Selcuk
Keywords: Science::Mathematics
Issue Date: 2018
Source: Aygin, Z. S. (2019). Eisenstein series and convolution sums. The Ramanujan Journal, 48(3), 495-508. doi:10.1007/s11139-018-0055-2
Journal: The Ramanujan Journal
Abstract: 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.
ISSN: 1382-4090
DOI: 10.1007/s11139-018-0055-2
Rights: © 2018 Springer Science+Business Media, LLC, part of Springer Nature. This is a post-peer-review, pre-copyedit version of an article published in The Ramanujan Journal. The final authenticated version is available online at:
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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