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math.NT2004★ 2 cited
Open Diophantine Problems
Michel Waldschmidt
We collect a number of open questions concerning Diophantine equations, Diophantine Approximation and transcendental numbers. Revised version: corrected typos and added references.
math.NT2002★ 7 cited
Diophantine approximation by conjugate algebraic integers
Damien Roy, Michel Waldschmidt
Building on work of Davenport and Schmidt, we mainly prove two results. The first one is a version of Gel'fond's transcendence criterion which provides a sufficient condition for a…
math.NT2000
On a Problem of Mahler Concerning the Approximation of Exponentials and Logarithms
Michel Waldschmidt
We first propose two conjectural estimates on Diophantine approximation of logarithms of algebraic numbers. Next we discuss the state of the art and we give further partial results…