A formula for the number of surjective mappings from a set with $a$ elements to a set with $b$ elements is proven in three different ways. The stress is put on methodology rather than on the result itself.On démontre, de trois manières différentes, une formule donnant le nombre de surjections d'un ensemble à $a$ éléments dans un ensemble à $b$ éléments, en insistant davantage sur la méthodologie que sur le résultat
We propose a set of simple and fast algorithms for evaluating and using trigonometric expressions in...
5 pagesInternational audienceThis note is an appendix to a preprint by E. Hellmann. We give a comple...
International audienceIn this paper, the equidistribution theorem of Szpiro-Ullmo-Zhang about sequen...
summary:Let $b>a>0$. We prove the following asymptotic formula $$ \sum _{n\geqslant 0} \big \lvert \...
summary:Let $b>a>0$. We prove the following asymptotic formula $$ \sum _{n\geqslant 0} \big \lvert \...
AbstractWe present in this article several possibilities to approach the height of an algebraic curv...
Two definitions of the number $e$, $\displaystyle\lim_{n\rightarrow\infty}\left(1+\frac1n\right)^n$...
International audienceWe give an asymptotic formula for the total variation of the sequence of fract...
The number in the title appears in a problem proposed to Pierre Fermat by M. de Saint-Martin, a memb...
Widely studied in N or Z, we are interested in additive bases in infinite abelian groups. We get som...
Widely studied in N or Z, we are interested in additive bases in infinite abelian groups. We get som...
Widely studied in N or Z, we are interested in additive bases in infinite abelian groups. We get som...
6 pagesInternational audienceWe introduce a q-deformation of Dirichlet series : for each s, an opera...
An integer is called $y$-friable if its largest prime factor does not exceed $y$. Friable values of ...
International audienceLet Q(N,λ) denote the number of integer solutions of the equation A^2+B^2=C^2+...
We propose a set of simple and fast algorithms for evaluating and using trigonometric expressions in...
5 pagesInternational audienceThis note is an appendix to a preprint by E. Hellmann. We give a comple...
International audienceIn this paper, the equidistribution theorem of Szpiro-Ullmo-Zhang about sequen...
summary:Let $b>a>0$. We prove the following asymptotic formula $$ \sum _{n\geqslant 0} \big \lvert \...
summary:Let $b>a>0$. We prove the following asymptotic formula $$ \sum _{n\geqslant 0} \big \lvert \...
AbstractWe present in this article several possibilities to approach the height of an algebraic curv...
Two definitions of the number $e$, $\displaystyle\lim_{n\rightarrow\infty}\left(1+\frac1n\right)^n$...
International audienceWe give an asymptotic formula for the total variation of the sequence of fract...
The number in the title appears in a problem proposed to Pierre Fermat by M. de Saint-Martin, a memb...
Widely studied in N or Z, we are interested in additive bases in infinite abelian groups. We get som...
Widely studied in N or Z, we are interested in additive bases in infinite abelian groups. We get som...
Widely studied in N or Z, we are interested in additive bases in infinite abelian groups. We get som...
6 pagesInternational audienceWe introduce a q-deformation of Dirichlet series : for each s, an opera...
An integer is called $y$-friable if its largest prime factor does not exceed $y$. Friable values of ...
International audienceLet Q(N,λ) denote the number of integer solutions of the equation A^2+B^2=C^2+...
We propose a set of simple and fast algorithms for evaluating and using trigonometric expressions in...
5 pagesInternational audienceThis note is an appendix to a preprint by E. Hellmann. We give a comple...
International audienceIn this paper, the equidistribution theorem of Szpiro-Ullmo-Zhang about sequen...