Richard Mandel

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20162026

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math.NT2022

The Diophantine problem for systems of algebraic equations with exponents

Richard Mandel, Alexander Ushakov

Consider the equation $q_{1} α^{x_{1}} + \dots + q_{k} α^{x_{k}} = q$ , with constants $α \in Q ∖ {0, 1}$ , $q_{1}, \dots, q_{k}, q \in Q$ and unknowns $x_1…

math.NT2016

Computing the Fixed Field of $Aut (F (x) / F)$

Richard Mandel

For a finite field $F$ , it is a basic result of Galois theory that the fixed field $E$ of $Aut (F (x) / F)$ is a proper extension of $F$ . In…

The Diophantine problem for systems of algebraic equations with exponents

Computing the Fixed Field of Aut(F(x)/F)

Computing the Fixed Field of $Aut (F (x) / F)$