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math.NT2008
Schanuel's conjecture and the exceptional set of -th arithmetic zeta functions
Diego Marques
In this work, we study the arithmetic nature of the numbers of the form $n^{\g}$, for and $\g\in \C$. We also consider a related conjecture and we show that it is a cons…
math.NT2008★ 5 cited
Algebraic Values of Transcendental Functions at Algebraic Points
Jingjing Huang, Diego Marques, Martin Mereb
In this paper, the authors will prove that any subset of $\overline{\QQ}$ can be the exceptional set of some transcendental entire function. Furthermore, we could generalize this t…