Samuel Wilson

most citedCranks for Ramanujan-type congruences of

k

-colored partitions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2026

An Exploration of Crank Generating functions for $t$ -core partitions

Samuel Wilson

In 1919, Ramanujan discovered his famous congruences for the partition function. Not too long after, Freeman Dyson conjectured a combinatorial statistic existed that explained the…

math.NT2026

Families of Congruences for Partitions with $k$ -colored odd parts

Samuel Wilson

The study of integer partitions and their congruences dates back to 1919 when Ramanujan discovered his famous congruences for the partition function, $p (n)$ . Since then, many other…

math.NT2020★ 1 cited

Cranks for Ramanujan-type congruences of $k$ -colored partitions

Larry Rolen, Zack Tripp, Ian Wagner +1

Dyson famously provided combinatorial explanations for Ramanujan's partition congruences modulo $5$ and $7$ via his rank function, and postulated that an invariant explaining all o…

An Exploration of Crank Generating functions for t-core partitions

Families of Congruences for Partitions with k-colored odd parts

Cranks for Ramanujan-type congruences of k-colored partitions

An Exploration of Crank Generating functions for $t$ -core partitions

Families of Congruences for Partitions with $k$ -colored odd parts

Cranks for Ramanujan-type congruences of $k$ -colored partitions