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math.NT2017
Exceptional values of E-functions at algebraic points
Boris Adamczewski, Tanguy Rivoal
E-functions are entire functions with algebraic Taylor coefficients satisfying certain arithmetic conditions, and which are also solutions of linear differential equations with rat…
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…