28 citations · 147 across the 20 of their papers we have counts for
19 papers · 1 filter
Rogers--Ramanujan computer searches
James Mc Laughlin, Andrew V. Sills, Peter Zimmer
We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities…
Combinatorics of Ramanujan--Slater type identities
James Mc Laughlin, Andrew V. Sills
We provide the missing member of a family of four -series identities related to the modulus 36, the other members having been found by Ramanujan and Slater. We examine combinato…
Ramanujan--Slater type identities related to the moduli and
James Mc Laughlin, Andrew V. Sills
We present several new families of Rogers-Ramanujan type identities related to the moduli 18 and 24. A few of the identities were found by either Ramanujan, Slater, or Dyson, but m…
Disturbing the -Dyson Conjecture
Andrew V. Sills
I discuss the computational methods behind the formulation of some conjectures related to variants on Andrews' -Dyson conjecture.
Identities of the Rogers--Ramanujan--Slater Type
Andrew V. Sills
It is shown that (two-variable generalizations of) more than half of Slater's list of 130 Rogers-Ramanujan identities (L. J. Slater, Further identities of the Rogers-Ramanujan type…
Disturbing the Dyson conjecture in a \emph{generally} GOOD way
Andrew V. Sills
Dyson's celebrated constant term conjecture ({\em J. Math. Phys.}, 3 (1962): 140--156) states that the constant term in the expansion of $\prod_{1\leqq i\neq j\leqq n} (1-x_i/x_j)^…