Article
KYUNGPOOK Math. J. 2019; 59(3): 377-389
Published online September 23, 2019
Copyright © Kyungpook Mathematical Journal.
The Convolution Sum
∑ a l + b m = n δ l δ m for (a,b) = (1,28),(4,7),(1,14),(2,7),(1,7)
Ayșe Alaca∗, Șaban Alaca and Ebén ézer Ntienjem
School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6, Canada
e-mails : AyseAlaca@cunet.carleton.ca, SabanAlaca@cunet.carleton.ca and Ebenezer.Ntienjem@carleton.ca
Received: July 18, 2017; Revised: April 6, 2018; Accepted: July 18, 2018
We evaluate the convolution sum
Keywords: convolution sums, sum of divisors function, Eisenstein series, modular forms, cusp forms, Dedekind eta function, eta quotients, octonary quadratic forms, representations.