On Mirror Symmetry and Irrationality of Zeta Values

A Malmendier, MT Schultz - arXiv preprint arXiv:2403.07349, 2024 - arxiv.org
A fundamental object of study in mirror symmetry of $ n $-dimensional Fano varieties is the A-
side connection on small quantum cohomology. When the Picard rank is 1, the Borel …

-hypergeometric systems and relative cohomology

TJ Lee, D Zhang - International Journal of Mathematics, 2020 - World Scientific
We investigate the solution space to certain A-hypergeometric 𝒟-modules, which were
defined and studied by Gelfand, Kapranov, and Zelevinsky. We show that the solution space …

Modular structures and extended-modular-group-structures after Hecke pairs

OM Lecian - Journal of Physics: Conference Series, 2019 - iopscience.iop.org
The simplices and the complexes arsing form the grading of the fundamental
(desymmetrized) domain of arithmetical groups and non-arithmetical groups, as well as their …

[PDF][PDF] HYPERGEOMETRIC FUNCTIONS, CHARACTER SUMS AND APPLICATIONS

L LONG, FT TU - alozano.clas.uconn.edu
HYPERGEOMETRIC FUNCTIONS, CHARACTER SUMS AND APPLICATIONS 1. Classical
hypergeometric functions and differential equations For a Page 1 HYPERGEOMETRIC …