Evaluation of some convolution sums

Barış Kendirli

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https://doi.org/10.1...arrow_drop_down

https://doi.org/10.1063/1.4912...

Article . 2015 . Peer-reviewed

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https://dx.doi.org/10.1063/1.4...

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Evaluation of some convolution sums

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2015Publisher:AIP Publishing LLCJournal:AIP Conference Proceedings, volume 1,648, page 330,002 (issn: 0094-243X,

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Authors: Barış Kendirli;

doi: 10.1063/1.4912573

Evaluation of some convolution sums

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Abstract

We evaluate the convolution sums∑l+50m=nσ(l)σ(m), ∑2l+25m=nσ(l)σ(m), ∑l+25m=nσ(l)σ(m),∑l+m=n,l≡a mod⁡5σ(l)σ(m), for a=0,1,2,3,4using the theory of quasimodular forms.

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Fatih University
Turkey

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