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8 papers · 2 filters
Sur la variation totale de la suite des parties fractionnaires des quotients d'un nombre r{é}el positif par les nombres entiers naturels cons{é}cutifs
Michel Balazard
We give an asymptotic formula for the total variation of the sequence of fractional parts of the quotients of a positive real number by the consecutive natural numbers.
Sur la variation quadratique totale de la suite des parties fractionnaires des quotients d'un nombre réel positif par les nombres entiers naturels consécutifs
Michel Balazard
We give an asymptotic formula for the quadratic total variation of the sequence of fractional parts of the quotients of a positive real number by the consecutive natural numbers.
Lois de répartition des diviseurs des entiers friables
Sary Drappeau, Gérald Tenenbaum
According to a general probabilistic principle, the natural divisors of friable integers (i.e.~free of large prime factors) should normally present a Gaussian distribution. We show…
Weyl sums, mean value estimates, and Waring's problem with friable numbers
Sary Drappeau, Xuancheng Shao
In this paper we study Weyl sums over friable integers (more precisely -friable integers up to when for a large constant ). In particular, we obtain an a…
Functions of degree 4e that are not APN infinitely often
François Rodier
We prove a necessary condition for some polynomials of degree 4e (e an odd number) to be APN over F q n for large n, and we investigate the polynomials f of degree 12.
Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups
Raphaël Beuzart-Plessis
In this paper, we prove a conjecture of Wei Zhang on comparison of certain local spherical characters from which we draw some consequences for the Ichino-Ikeda conjecture for unita…