For a positive integer n, let δ(n) := σ d€N djn d: The explicit evaluation of such arithmetic sums as σ (a;b;c) €N3 a+2b+4c=n δ (a) δ (b) δ (c) and σ (a;b) N2 a+2b=n aδ (a) δ (b) is carried out for all positive integers n.

Additional Metadata
Keywords Eisenstein series, Sum of divisors function
Persistent URL dx.doi.org/10.7169/facm/2012.46.2.9
Series Functiones et Approximatio, Commentarii Mathematici
Citation
Alaca, S, Uygul, F. (Faruk), & Williams, K.S. (2012). Some arithmetic identities involving divisor functions. Functiones et Approximatio, Commentarii Mathematici. doi:10.7169/facm/2012.46.2.9