Affiliation: Ohio State University
Email: milne@math.ohio-state.edu
Title Of Talk: New formulas for Ramanujan's tau function and other classical cusp forms
Abstract: Utilizing classical elliptic function invariants, we first sketch our derivation of several useful new formulas for Ramanujan's tau function. This work includes: the main pair of new formulas for the tau function that ``separate'' the two terms in the classical formula for the modular discriminaant, a generating function form for both of these formulas, a Leech lattice form of one of these formulas, and a triangular numbers form. We then present analogous new formulas for several other classical cusp forms that appear in quadratic forms, sphere-packings, lattices, and groups.
Last update made Sun Jan 26 21:32:39 EST 2003.
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