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Bibliographic Details
Main Author: Goto, Yoshiaki
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.00564
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Table of Contents:
  • The Riemann-Wirtinger integral is an analogue of the hypergeometric integral defined on a one-dimensional complex torus. As a generalization, we define the Riemann-Wirtinger integral on the product of two one-dimensional complex tori. We study the structure of the twisted cohomology group associated with the Riemann-Wirtinger integral and derive a system of differential equations satisfied by this integral.