16 citations · 22 across the 6 of their papers we have counts for
6 papers
The monodromy of cyclic Pryms
Eric M. Rains
The {\em Prym} of a cyclic covering of smooth projective curves is the ``new'' part of the Jacobian: the quotient of the Jacobian of the covering curve by the Jacobians of the inte…
The (noncommutative) geometry of difference equations
Eric M. Rains
The aim of this monograph is twofold: to explain various nonautonomous integrable systems (discrete Painlevé all the way up to the elliptic level, as well as generalizations à la G…
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…
Determinants of elliptic hypergeometric integrals
E. M. Rains, V. P. Spiridonov
We start from an interpretation of the -symmetric "Type I" (elliptic Dixon) elliptic hypergeometric integral evaluation as a formula for a Casoratian of the elliptic hypergeo…
Limits of elliptic hypergeometric integrals
Eric M. Rains
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting…
Recurrences for elliptic hypergeometric integrals
Eric M. Rains
In recent work (math.QA/0309252) on multivariate hypergeometric integrals, the author generalized a conjectural integral formula of van Diejen and Spiridonov to a ten parameter int…