44 citations · 281 across the 35 of their papers we have counts for
Showing 2016Show all
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math-ph2016★ 36 cited
The star-triangle relation, lens partition function, and hypergeometric sum/integrals
Ilmar Gahramanov, Andrew P. Kels
The aim of the present paper is to consider the hyperbolic limit of an elliptic hypergeometric sum/integral identity, and associated lattice model of statistical mechanics previous…
hep-th2016★ 6 cited
A resurgence analysis for cubic and quartic anharmonic potentials
Ilmar Gahramanov, Kemal Tezgin
In this work we explicitly show resurgence relations between perturbative and one instanton sectors of the resonance energy levels for cubic and quartic anharmonic potentials in on…
hep-th2016★ 22 cited
Basic hypergeometry of supersymmetric dualities
Ilmar Gahramanov, Hjalmar Rosengren
We introduce several new identities combining basic hypergeometric sums and integrals. Such identities appear in the context of superconformal index computations for three-dimensio…