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most citedCongruences modulo cyclotomic polynomials and algebraic independence for -series

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math.NT2022

Cyclotomic valuation of -Pochhammer symbols and -integrality of basic hypergeometric series

B. Adamczewski, J. P. Bell, É. Delaygue +1

We give a formula for the cyclotomic valuation of -Pochhammer symbols in terms of (generalized) Dwork maps. We also obtain a criterion for the -integrality of basic hypergeom…