4 papers · 1 filter
Linking Congruences for PED and POD partitions
Dalen Dockery, Marie Jameson
Recent work of Garvan, Sellers, Smoot, and others has made connections between infinite families of congruences for various partition functions. Here, we apply this approach to fam…
A congruence family modulo powers of 5 for generalized cubic partitions via the localization method
Dalen Dockery
Recently Amdeberhan, Sellers, and Singh introduced a new infinite family of partition functions called generalized cubic partitions. Given a positive integer , they let …
Cusp forms without complex multiplication as -adic limits
Dalen Dockery
In 2016, Ahlgren and Samart used the theory of holomorphic modular forms to obtain lower bounds on -adic valuations related to the Fourier coefficients of three cusp forms. In p…
d-Fold Partition Diamonds
Dalen Dockery, Marie Jameson, James A. Sellers +1
In this work we introduce new combinatorial objects called --fold partition diamonds, which generalize both the classical partition function and the partition diamonds of Andrew…