Three vignettes on hypergeometric normal functions
Algebraic Geometry
2026-02-05 v1 Number Theory
Abstract
We use Hodge-theoretic methods to (i) explain number-theoretic identities of a type recently considered by Guillera and Zudilin, (ii) describe the Frobenius dual of Abel-Jacobi period functions, and (iii) offer a new proof of Golyshev's conjecture on algebraic hypergeometrics aided by an argument in the spirit of Lefschetz's (1,1) theorem.
Cite
@article{arxiv.2602.04128,
title = {Three vignettes on hypergeometric normal functions},
author = {Matt Kerr},
journal= {arXiv preprint arXiv:2602.04128},
year = {2026}
}
Comments
25 pages; comments welcome