Three vignettes on hypergeometric normal functions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912874946887680 |
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| author | Kerr, Matt |
| author_facet | Kerr, Matt |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04128 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Three vignettes on hypergeometric normal functions Kerr, Matt Algebraic Geometry Number Theory 14C30, 19E15, 33C20 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. |
| title | Three vignettes on hypergeometric normal functions |
| topic | Algebraic Geometry Number Theory 14C30, 19E15, 33C20 |
| url | https://arxiv.org/abs/2602.04128 |