The convolution sum, is evaluated for a ∈ {0, 1, 2, 3} and all n ∈ ℕ. This completes the partial evaluation given in the paper of J. G. Huard, Z. M. Ou, B. K. Spearman, K. S. Williams.

Additional Metadata
Keywords Convolution sums, Sum of divisors function, Theta functions
Persistent URL dx.doi.org/10.1007/s10587-009-0052-0
Journal Czechoslovak Mathematical Journal
Citation
Alaca, A, Alaca, S, & Williams, K.S. (2009). Evaluation of the sums. Czechoslovak Mathematical Journal, 59(3), 847–859. doi:10.1007/s10587-009-0052-0