Evaluation of Some Convolution Sums and Representation Numbers of Quadratic Forms of Discriminant -135
Journal of Advances in Mathematics and Computer Science · pp. 494–531 · Published 22 Jan 2015
10.9734/BJMCS/2015/13973Abstract
We evaluate the convolution sums using the theory of quasimodular forms and determine the number of representations of a positive integer n by some direct sum of the forms of discriminant -135 by modular forms. Moreover, we explain how to determine the number of representations of Q + tP, t > 1, t|135 for various sums Q , P of the above quadratic forms.
Cited by 9
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B. Kendirli · Integers · 2015
B. Kendirli · 2015
B. Kendirli · 2015
Barış Kendirli · British Journal of Mathematics & Computer Science · 2015
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