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- W4366827586 abstract "We introduce an $ell$-adic analogue of Gauss's hypergeometric function arising from the Galois action on the fundamental torsor of the projective line minus three points. Its definition is motivated by a relation between the KZ-equation and the hypergeometric differential equation in the complex case. We show two basic properties, analogues of Gauss's hypergeometric theorem and of Euler's transformation formula for our $ell$-adic function. We prove them by detecting a connection of a certain two-by-two matrix specialization of even unitary associators with the associated gamma function, which extends the result of Ohno and Zagier." @default.
- W4366827586 created "2023-04-25" @default.
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- W4366827586 date "2023-04-20" @default.
- W4366827586 modified "2023-09-27" @default.
- W4366827586 title "The ℓ-adic hypergeometric function and associators" @default.
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- W4366827586 doi "https://doi.org/10.2140/tunis.2023.5.1" @default.
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