Tim HuberAffiliation: University of Texas  Rio Grande Valley Email: timothy.huber@utrgv.edu Title Of Talk: Higher level RamanujanSato series for $1/\pi$. Abstract: A systematic construction for RamanujanSato expansions from McKayThompson series is given. Expansions for each divisor of the order of the Monster are derived, and a uniform interpretation is given for series parameters as generators of invariant function fields for subgroups of $\Gamma_{0}(n)$. Relations between the generators extend reciprocal identities satisfied by eta quotients and the continued fractions of RogersRamanujan and GöllnitzGordon. Complete lists of rational and quadratic series are derived from singular values of the parameters. Heuristics will be given to minimize the order of recurrences defining the series expansions. This is joint work with Daniel Schultz and Dongxi Ye. WARNING: This page contains MATHJAX
Last update made Mon Feb 15 16:37:23 PST 2016.
