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math.LO2017★ 1 cited
Hilbert's tenth problem for complex meromorphic functions in several variables
Thanases Pheidas, Xavier Vidaux
We prove an analogue of Hilbert's Tenth Problem for complex meromorphic functions. More precisely, we prove that the set of integers is positive existentially definable in fields o…
math.NT2017
Julia Robinson numbers and arithmetical dynamic of quadratic polynomials
Marianela Castillo Fernández, Xavier Vidaux, Carlos R. Videla
For rings of totally real algebraic integers, J. Robinson defined a set which is always or of the form or for some real nu…