A. Varchenko

activity

19952022

most citedBethe eigenvectors of higher transfer matrices

52 citations · 270 across the 46 of their papers we have counts for

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4 papers · 1 filter

math.NT2022

Dynamical and qKZ equations modulo $p^{s}$ , an example

Alexander Varchenko

We consider an example of the joint system of dynamical differential equations and qKZ difference equations with parameters corresponding to equations for elliptic integrals. We so…

math.NT2022★ 1 cited

Dwork-type congruences and $p$ -adic KZ connection

Alexander Varchenko

We show that the $p$ -adic KZ connection associated with the family of curves $y^{q} = (t - z_{1}) \dots (t - z_{q g + 1})$ has an invariant subbundle of rank $g$ , while the corresponding complex…

math-ph2022

On the number of $p$ -hypergeometric solutions of KZ equations

Alexander Varchenko

It is known that solutions of the KZ equations can be written in the form of multidimensional hypergeometric integrals. In 2017 in a joint paper of the author with V. Schechtman th…

math.QA2022

Frobenius-like structure in Gaudin model

Evgeny Mukhin, Alexander Varchenko

We introduce a Frobenius-like structure for the $sl_{2}$ Gaudin model. Namely, we introduce potential functions of the first and second kind. We describe the Shapovalov form i…

Dynamical and qKZ equations modulo ps, an example

Dwork-type congruences and p-adic KZ connection

On the number of p-hypergeometric solutions of KZ equations

Frobenius-like structure in Gaudin model

Dynamical and qKZ equations modulo $p^{s}$ , an example

Dwork-type congruences and $p$ -adic KZ connection

On the number of $p$ -hypergeometric solutions of KZ equations