The convolution sum ∑m<n/16σ(m)σ(n - 16m)

Alaca, Ayse; Alaca, Saban; Williams, Kenneth S.

A. Alaca (Ayse), S. Alaca (Saban) and K.S. Williams (Kenneth S.)

2008-03-01

The convolution sum ∑m<n/16σ(m)σ(n - 16m)

Canadian Mathematical Bulletin , Volume 51 - Issue 1 p. 3- 14

The convolution sum ∑m<n/16σ(m)σ(n - 16m) is evaluated for all n ∈ ℕ. This evaluation is used to determine the number of representations of n by the quadratic form x1 2 + x2 2 + x3 2 + x4 2 + 4x5 2 + 4x6 2 + 4x 7 2 + 4x8 2.

Additional Metadata
Keywords	Convolution sums, Divisor functions, Eisenstein series
Journal	Canadian Mathematical Bulletin
Organisation	School of Mathematics and Statistics
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Alaca, A, Alaca, S, & Williams, K.S. (2008). The convolution sum ∑mCanadian Mathematical Bulletin, 51(1), 3–14.

The convolution sum ∑m<n/16σ(m)σ(n - 16m)

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