2 papers
math.GT2019
L-space knots with tunnel number >1 by experiment
Chris Anderson, Kenneth L. Baker, Xinghua Gao +8
In Dunfield's catalog of the hyperbolic manifolds in the SnapPy census which are complements of L-space knots in , we determine that have tunnel number while the rema…
math.NT2016
Higher Order Smallest Parts Functions and Rank-Crank Moment Inequalities from Bailey Pairs
Catherine Babecki, Chris Jennings-Shaffer, Geoffrey Sangston
We generalize a result of Garvan on inequalities and interpretations of the moments of the partition rank and crank functions. In particular for nearly 30 Bailey pairs, we introduc…