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math.NT2022★ 2 cited
A new proof of Nishioka's theorem in Mahler's method
Boris Adamczewski, Colin Faverjon
In a recent work [3], the authors established new results about general linear Mahler systems in several variables from the perspective of transcendental number theory, such as a m…
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…