Rankin-Cohen Brackets and van der Pol-Type Identities for the Ramanujan's Tau Function

Details Rankin-Cohen Brackets and van der Pol-Type Identities for the Ramanujan's Tau Function Rankin-Cohen Brackets and van der Pol-Type Identities for the Ramanujan's Tau Function

2007-11-22

arxiv.org/abs/0711.3512v1

Mathematics

Number Theory

14 pages

Scientific paper

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.

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