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Commmuting exponentials in dimension at most 3
Matrix exponential Property L Rings and Algebras
2011/9/2
Abstract: Let A,B be two square complex matrices of dimension at most 3. We show that the following conditions are equivalent i) There exists a finite subset U included in {2,3,4,...} such that for ev...
On a Problem of Mahler Concerning the Approximation of Exponentials and Logarithms
Mahler Concerning Approximation of Exponentials Logarithms
2010/11/1
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 on this topic.