303 citations
- University of KentuckyUS10 papers
- Cornell UniversityUS7 papers
- National Institute of Standards and TechnologyUS6 papers
- Hebrew University of JerusalemIL5 papers
- Joint Quantum InstituteUS4 papers
- West Chester UniversityUS4 papers
- Joint Institute for Laboratory AstrophysicsUS3 papers
- Nankai UniversityCN3 papers
- Shanghai Jiao Tong UniversityCN3 papers
- University of Colorado BoulderUS3 papers
- California Institute of TechnologyUS2 papers
- Foundation for Research and Technology HellasGR2 papers
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math.NT2019★ 6 cited
On a pair of identities from Ramanujan's lost notebook
James Mc Laughlin, Andrew V. Sills
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immedia…
math.NT2019★ 9 cited
Lifting Bailey Pairs to WP-Bailey Pairs
James Mc Laughlin, Andrew V. Sills, Peter Zimmer
A pair of sequences such that and \[ β_{n}(a,k,q) = \sum_{j=0}^{n} \frac{(k/a; q)_{n-j}(k; q)_{n+j}}{(q;q)_{n-j}(aq;q)_{n+j}}α_{j}(a,k,…
math.NT2018★ 19 cited
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…