3 papers
math.GR2025
Metric criteria for fixed price of countable groups
Erin Bevilacqua, Lewis Bowen
We establish general criteria for a countable group to have fixed price 1 depending on a choice of left-invariant proper metric on . We apply this criterion to show that if…
math.NT2019
Ramanujan Congruences for Fractional Partition Functions
Erin Bevilacqua, Kapil Chandran, Yunseo Choi
For rational , the fractional partition functions are given by the coefficients of the generating function . When , one obtains the usual partitio…
math.CO2018
Rainbow numbers for in
Erin Bevilacqua, Samuel King, Jürgen Kritschgau +3
In this work, we investigate the fewest number of colors needed to guarantee a rainbow solution to the equation in . This value is called the Rain…