B. Kane

most citedRepresenting Sets with Sums of Triangular Numbers

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2009★ 1 cited

Representing Sets with Sums of Triangular Numbers

Ben Kane

We investigate here sums of triangular numbers $f (x) := \sum_{i} b_{i} T_{x_{i}}$ where $T_{n}$ is the $n$ -th triangular number. We show that for a set of positive integers $S$ there is a fi…

math.CO2008

Multiplicative $q$ -hypergeometric series arising from real quadratic fields

Kathrin Bringmann, Ben Kane

Andrews, Dyson, and Hickerson showed that 2 $q$ -hypergeometric series, going back to Ramanujan, are related to real quadratic fields, which explains interesting properties of their…

Representing Sets with Sums of Triangular Numbers

Multiplicative q-hypergeometric series arising from real quadratic fields

Multiplicative $q$ -hypergeometric series arising from real quadratic fields