The Convolution Sum

Kim, Aeran (2013) The Convolution Sum. British Journal of Mathematics & Computer Science, 4 (6). pp. 774-789. ISSN 22310851

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Abstract

The convolution sum∑m<n/8σ3(m)σ3(n−8m)is evaluated for alln∈N. This evaluationis used to determine the formulae of the convolution sums∑m<n8σ3,0(m; 2)σ3,0(n−8m; 2),∑m<n8σ3(m)σ3,1(n−8m; 2), etc., and the number of representations ofnthrough the sum ofeight triangular numbers

Item Type: Article
Subjects: OA Digital Library > Mathematical Science
Depositing User: Unnamed user with email support@oadigitallib.org
Date Deposited: 01 Jul 2023 09:32
Last Modified: 07 Jun 2024 09:59
URI: http://library.thepustakas.com/id/eprint/1554

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