7 citations · 7 across the 3 of their papers we have counts for
3 papers
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…
math.CO2017★ 7 cited
Congruences modulo cyclotomic polynomials and algebraic independence for -series
Boris Adamczewski, Jason P. Bell, Éric Delaygue +1
We prove congruence relations modulo cyclotomic polynomials for multisums of -factorial ratios, therefore generalizing many well-known -Lucas congruences. Such congruences co…