22 citations · 24 across the 6 of their papers we have counts for
6 papers
Infinite families of crank functions, Stanton-type conjectures, and unimodality
Kathrin Bringmann, Kevin Gomez, Larry Rolen +1
Dyson's rank function and the Andrews--Garvan crank function famously give combinatorial witnesses for Ramanujan's partition function congruences modulo 5, 7, and 11. While these f…
Combinatorial results on -cores and sums of squares
Joshua Males, Zack Tripp
We classify the connection between -cores and self-conjugate -cores to sums of squares. To do so, we provide explicit maps between -core partitions and self-conjugate -…
Fractional partitions and conjectures of Chern-Fu-Tang and Heim-Neuhauser
Kathrin Bringmann, Ben Kane, Larry Rolen +1
Many papers have studied inequalities for partition functions. Recently, a number of papers have considered mixtures between additive and multiplicative behavior in such inequaliti…
Cranks for Ramanujan-type congruences of -colored partitions
Larry Rolen, Zack Tripp, Ian Wagner +1
Dyson famously provided combinatorial explanations for Ramanujan's partition congruences modulo and via his rank function, and postulated that an invariant explaining all o…
Jensen Polynomials for the Riemann Xi Function
Michael Griffin, Ken Ono, Larry Rolen +3
We investigate Riemann's xi function (here is the Riemann zeta function). The Riemann Hypothesis (RH) asserts tha…
Pair correlation for Dedekind zeta functions of abelian extensions
David de Laat, Larry Rolen, Zack Tripp +1
Here we study problems related to the proportions of zeros, especially simple and distinct zeros on the critical line, of Dedekind zeta functions. We obtain new bounds on a countin…