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20172024
most citedCongruences modulo cyclotomic polynomials and algebraic independence for -series

7 citations · 7 across the 3 of their papers we have counts for

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math.NT2024

Algebraic relations between sine and cosine values

B. Adamczewski, É. Delaygue

The aim of this note is to show that any algebraic relation over between the values of the trigonometric functions sine and cosine at algebraic points can b…

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…