James Sellers

Affiliation: Pennsylvania State University

Email: sellersj@psu.edu

Title Of Talk: Infinitely Many Congruences for Broken 2-Diamond Partitions Modulo 3

Abstract: In 2007, Andrews and Paule introduced the family of functions $\Delta_k(n)$ which enumerate the number of broken $k$--diamond partitions for a fixed positive integer $k.$ Since then, numerous mathematicians have considered partitions congruences satisfied by $\Delta_k(n)$ for small values of $k.$ In this talk, we focus our attention on the function $\Delta_2(n)$ and explicitly identify infinitely many Ramanujan--like congruences modulo 3 which are satisfied by this function.

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