AbstractIt is proved that the function Θ(z)=∑k⩾0zR0+R1+⋯+Rk(1−zR0)(1−zR1)⋯(1−zRk), which can be expressed as a certain continued fraction, takes algebraically independent values at any distinct nonzero algebraic numbers inside the unit circle if the sequence {Rk}k⩾0 is the generalized Fibonacci numbers
International audienceThe last years have seen a growing interest from mathematicians in Mahler func...
Cette thèse se situe dans le domaine de la théorie des nombres. Nous étudions la transcendance et l...
This paper proves the existence of an universal nontrivial minorant of the set of the Mahler measure...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
In this thesis, we investigate topics belonging to number theory, and especially to transcendental n...
Abstract We prove algebraic independence of functions satisfying a simple form of algebraic Mahler f...
We provide a general result for the algebraic independence of Mahler functions by a new method based...
This thesis is part of Number Theory. It deals with transcendence and algebraic independence of valu...
Algebraic independence of the values of Mahler functions satisfying implicit functional equations by...
AbstractA recent paper (J. Number Theory42(1992), 61–87) announced various arithmetical properties o...
In the frame of Mahler's method for algebraic independence we show that the algebraic relations over...
International audienceIn 1990, Ku. Nishioka proved a fundamental theorem for Mahler's method, which ...
In the last five years there has been very significant progress in the development of transcendence ...
International audienceThe last years have seen a growing interest from mathematicians in Mahler func...
Cette thèse se situe dans le domaine de la théorie des nombres. Nous étudions la transcendance et l...
This paper proves the existence of an universal nontrivial minorant of the set of the Mahler measure...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
In this thesis, we investigate topics belonging to number theory, and especially to transcendental n...
Abstract We prove algebraic independence of functions satisfying a simple form of algebraic Mahler f...
We provide a general result for the algebraic independence of Mahler functions by a new method based...
This thesis is part of Number Theory. It deals with transcendence and algebraic independence of valu...
Algebraic independence of the values of Mahler functions satisfying implicit functional equations by...
AbstractA recent paper (J. Number Theory42(1992), 61–87) announced various arithmetical properties o...
In the frame of Mahler's method for algebraic independence we show that the algebraic relations over...
International audienceIn 1990, Ku. Nishioka proved a fundamental theorem for Mahler's method, which ...
In the last five years there has been very significant progress in the development of transcendence ...
International audienceThe last years have seen a growing interest from mathematicians in Mahler func...
Cette thèse se situe dans le domaine de la théorie des nombres. Nous étudions la transcendance et l...
This paper proves the existence of an universal nontrivial minorant of the set of the Mahler measure...
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