117 citations · 201 across the 56 of their papers we have counts for
6 papers · 1 filter
Unimodality of ranks and a proof of Stanton's conjecture
Kathrin Bringmann, Siu Hang Man, Larry Rolen
Recently, much attention has been given to various inequalities among partition functions. For example, Nicolas, {and later DeSavlvo--Pak,} proved that is eventually log-con…
Equidistribution and partition polynomials
Amanda Folsom, Joshua Males, Larry Rolen
Using equidistribution criteria, we establish divisibility by cyclotomic polynomials of several partition polynomials of interest, including -crank, overpartition pairs, and $…
Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms
Nikolaos Diamantis, Min Lee, Larry Rolen
We define an analogue of the Bol operator on spaces of weakly holomorphic modular forms of half-integral weight. We establish its main properties and relation with other objects.
The second shifted difference of partitions and its applications
Kevin Gomez, Joshua Males, Larry Rolen
A number of recent papers have estimated ratios of the partition function , which appears in many applications. Here, we prove an easy-to-use effective bound on these…
L-values of harmonic Maass forms
Nikolaos Diamantis, Larry Rolen
Bruinier, Funke, and Imamoglu have proved a formula for what can philosophically be called the "central -value" of the modular -invariant. Previously, this had been heuristic…
Turán inequalities for the plane partition function
Ken Ono, Sudhir Pujahari, Larry Rolen
Heim, Neuhauser, and Tröger recently established some inequalities for MacMahon's plane partition function that generalize known results for Euler's partition func…