The Fp-Selberg Integral

The Fp-Selberg Integral

We prove an F p -Selberg integral formula, in which the F p -Selberg integral is an element of the finite field F p with odd prime number p of elements. The formula is motivated by the analogy between multidimensional hypergeometric solutions of the KZ equations and polynomial solutions of the same...

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Veröffentlicht in:Arnold mathematical journal 2022, Vol.8 (1), p.39-60
Hauptverfasser: Rimányi, Richárd, Varchenko, Alexander
Format: Artikel
Sprache:eng
Schlagworte:
Fields (mathematics)
Formulas (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Prime numbers
Research Contribution
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Zusammenfassung:We prove an F p -Selberg integral formula, in which the F p -Selberg integral is an element of the finite field F p with odd prime number p of elements. The formula is motivated by the analogy between multidimensional hypergeometric solutions of the KZ equations and polynomial solutions of the same equations reduced modulo p .
ISSN:2199-6792
2199-6806
DOI:10.1007/s40598-021-00191-x