Rankin-Cohen Brackets and van der Pol-Type Identities for the Ramanujan's Tau Function
Number Theory
2007-11-26 v1
Abstract
We use Rankin-Cohen brackets for modular forms and quasimodular forms to give a different proof of the results obtained by D. Lanphier and D. Niebur on the van der Pol type identities for the Ramanujan's tau function. As consequences we obtain convolution sums and congruence relations involving the divisor functions.
Keywords
Cite
@article{arxiv.0711.3512,
title = {Rankin-Cohen Brackets and van der Pol-Type Identities for the Ramanujan's Tau Function},
author = {B. Ramakrishnan and Brundaban Sahu},
journal= {arXiv preprint arXiv:0711.3512},
year = {2007}
}
Comments
14 pages