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math.NT2017
A question proposed by K. Mahler on exceptional sets of transcendental functions with integer coefficients: solution of a Mahler's problem
Diego Marques, Carlos Gustavo Moreira
In this paper, we shall prove that any subset of , which is closed under complex conjugation and which contains the element , is the exceptional…
math.NT2017
A stronger version of a question proposed by K. Mahler
Diego Marques, Carlos Gustavo Moreira
In 1902, P. Stäckel proved the existence of a transcendental function , analytic in a neighbourhood of the origin, and with the property that both and its inverse func…