Around the Littlewood conjecture in Diophantine approximation

Author:

Bugeaud Yann

Publisher

Cellule MathDoc/CEDRAM

Reference35 articles.

1. [1] B. Adamczewski and Y. Bugeaud, On the Littlewood conjecture in simultaneous Diophantine approximation, J. London Math. Soc. 73 (2006), 355–366.

2. [2] J.-P. Allouche and J. Shallit, Automatic Sequences: Theory, Applications, Generalizations. Cambridge University Press, Cambridge, 2003.

3. [3] D. Badziahin, On multiplicatively badly approximable numbers, Mathematika 59 (2013), 31–55.

4. [4] D. Badziahin, On the continued fraction expansion of potential counterexamples to the p-adic Littlewood conjecture, preprint (arXiv:1406.3594).

5. [5] D. Badziahin, Y. Bugeaud, M. Einsiedler and D. Kleinbock, On the complexity of a putative counterexample to the p-adic Littlewood conjecture, preprint (arXiv:1405.5545).

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1. On the t-adic Littlewood conjecture;Duke Mathematical Journal;2021-07-15

2. SOME REFINED RESULTS ON THE MIXED LITTLEWOOD CONJECTURE FOR PSEUDO-ABSOLUTE VALUES;Journal of the Australian Mathematical Society;2018-08-22

3. On the complexity of a putative counterexample to the -adic Littlewood conjecture;Compositio Mathematica;2015-05-19

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