16 citations · 34 across the 16 of their papers we have counts for
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Ranks For Two Partition Quadruple Functions
Chris Jennings-Shaffer
Recently the author introduced two new integer partition quadruple functions, which satisfy Ramanujan-type congruences modulo , , , and . Here we reprove the congruenc…
Some Smallest Parts Functions from Variations of Bailey's Lemma
Chris Jennings-Shaffer
We construct new smallest parts partition functions and smallest parts crank functions by considering variations of Bailey's Lemma and conjugate Bailey pairs. The functions we intr…
Two partition functions with congruences modulo 3, 5, 7, and 13
Chris Jennings-Shaffer
We introduce two new integer partition functions, both of which are the number of partition quadruples of with certain size restrictions. We prove both functions satisfy Ramanu…
Exotic Bailey-Slater SPT-Functions III: Bailey Pairs from Groups B, F, G, and J
Chris Jennings-Shaffer
We continue to investigate spt-type functions that arise from Bailey pairs. In this third paper on the subject, we proceed to introduce additional spt-type functions. We prove simp…
Exotic Bailey-Slater SPT-Functions II: Hecke-Rogers-Type Double Sums and Bailey Pairs From Groups A, C, E
Frank Garvan, Chris Jennings-Shaffer
We investigate spt-crank-type functions arising from Bailey pairs. We recall four spt-type functions corresponding to the Bailey pairs , , , and of Slater and give…