213 citations
- Centre National de la Recherche ScientifiqueFR334 papers
- Université de StrasbourgFR309 papers
- Institute of Rural Management AnandIN147 papers
- Institut national de recherche en sciences et technologies du numériqueFR23 papers
- Université de LorraineFR23 papers
- University of SannioIT21 papers
- Laboratoire de Mathématiques d'OrsayFR19 papers
- Institut Camille JordanFR18 papers
- Institut Universitaire de FranceFR16 papers
- Université Paris CitéFR16 papers
- Institut de Mathématiques de ToulouseFR15 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR14 papers
4 papers · 2 filters
On good universality and the Riemann hypothesis
Jean-Louis Verger-Gaugry, Radhakrishnan Nair, Michel Weber
We use subsequence and moving average ergodic theorems applied to Boole's transformation and its variants and their invariant measures on the real line to give new characterisation…
On the Lévy constants of Sturmian continued fractions
Yann Bugeaud, Dong Han Kim, Seul Bee Lee
The Lévy constant of an irrational real number is defined by the exponential growth rate of the sequence of denominators of the principal convergents in its continued fraction expa…
On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations
Yann Bugeaud, Dong Han Kim, Michel Laurent +1
We prove that these Cantor sets are made up of transcendental numbers, apart from their endpoints and , under some arithmetical assumptions on the data. To that purpose, we…
Criteria for apwenian sequences
Ying-Jun Guo, Guo-Niu Han, Wen Wu
In 1998, Allouche, Peyrière, Wen and Wen showed that the Hankel determinant of the Thue-Morse sequence over satisfies for al…