Rankin-Cohen brackets and van der Pol-type identities for Ramanujan's tau function
Speaker: Dr. Brundaban Sahu (UCD)
Date: Wed 4th February 2009
Location: Mathematical Sciences Seminar Room
We use Rankin-Cohen brackets for modular forms and quasimodular forms to give a different proof of results obtained by D. Lanphier and D. Niebur on van der Pol-type identities for Ramanujan's tau function. As a consequence, we obtain convolution sums and congruence relations involving divisor functions.
(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)