S. Tsuchimi

collaborators

3 papers

math.CA2026

A degeneration of the generalized Zwegers' $I^¼$ -function according to the Ramanujan difference equation

G. Shibukawa, S. Tsuchimi

In this paper, we introduce the little $I^¼$ -function, which is obtained as a degenerate limit of the generalized $I^¼$ -function. We derive the little $I^¼$ -function as the image of t…

math.RT2026

A degeneration of the $q$ -Garnier system of fourth order arises from confluences in quivers

Kazuya Matsugashita, Takao Suzuki, Satoshi Tsuchimi

The $q$ -Garnier system was first proposed by Sakai and its other directions of discrete time evolutions were given by Nagao and Yamada. Recently, it was shown that all of those dir…

math.CA2025

A generalization of Zwegers' multivariable $I^¼$ -function

G. Shibukawa, S. Tsuchimi

We introduce a one parameter deformation of Zwegers' multivariable $I^¼$ -function by applying iterations of the $q$ -Borel summation method, which is also a multivariate analogue of…

A degeneration of the generalized Zwegers' I^¼-function according to the Ramanujan difference equation

A degeneration of the q-Garnier system of fourth order arises from confluences in quivers

A generalization of Zwegers' multivariable I^¼-function

A degeneration of the generalized Zwegers' $I^¼$ -function according to the Ramanujan difference equation

A degeneration of the $q$ -Garnier system of fourth order arises from confluences in quivers

A generalization of Zwegers' multivariable $I^¼$ -function