3 citations · 7 across the 8 of their papers we have counts for
12 papers · 1 filter
A uniform proof approach for congruences modulo 3 for partitions with -colored odd parts
Marie Jameson, James A. Sellers
In recent work, Hirschhorn and the second author defined to be the number of partitions of wherein the even parts come in only one color, while the odd parts may be ``…
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…
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…
Self-conjugate 6-cores and quadratic forms
Michael Hanson, Marie Jameson
In this work, we analyze the behavior of the self-conjugate 6-core partition numbers by utilizing the theory of quadratic and modular forms. In particular, we explore w…
Cusp forms as p-adic limits
Michael Hanson, Marie Jameson
Ahlgren and Samart relate three cusp forms with complex multiplication to certain weakly holomorphic modular forms using -adic bounds related to their Fourier coefficients. In t…
Incongruences for modular forms and applications to partition functions
Sharon Garthwaite, Marie Jameson
The study of arithmetic properties of coefficients of modular forms has a rich history, including deep results regarding congruences in arithmetic progression…