34 citations · 312 across the 53 of their papers we have counts for
55 papers
New Beta Integral from Supersymmetric Gauge Theory on Projective Space
Ilmar Gahramanov, Tuğba Hırlı, R. Semih Kanber +1
We derive a new beta-type basic hypergeometric integral identity from the equality of supersymmetric partition functions on . Unlike previously…
A new product formula for , with applications to asymptotics
Arash Arabi Ardehali, Hjalmar Rosengren
We express the -Pochhammer symbol as an infinite product of gamma functions, analogously to how Narukawa expressed the elliptic gamma function as an infinite prod…
Q-operators for the Ruijsenaars model
Eric Rains, Hjalmar Rosengren
We prove that the Ruijsenaars model admits a one-parameter commuting family of Q-operators. The commutativity is equivalent to an elliptic hypergeometric integral transformation th…
String theory amplitudes and partial fractions
Hjalmar Rosengren
We give rigorous proofs and generalizations of partial fraction expansions for string amplitudes that were recently discovered by Saha and Sinha.
On Some Double Nahm Sums of Zagier
Zhineng Cao, Hjalmar Rosengren, Liuquan Wang
Zagier provided eleven conjectural rank two examples for Nahm's problem. All of them have been proved in the literature except for the fifth example, and there is no -series pro…
New proofs of the septic Rogers-Ramanujan identities
Hjalmar Rosengren
We give new proofs of the twelve Rogers-Ramanujan-type identities due to Rogers and Slater that are traditionally associated with the moduli 7, 14 and 28.