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arXiv · 2602.04128

Three vignettes on hypergeometric normal functions

Matt Kerr
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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.

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Matt Kerr. 2026-02-04. Three vignettes on hypergeometric normal functions. https://arxiv.org/abs/2602.04128

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