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- T. Letellier, Gilles Durrieu, +9 authors Jean-Pierre Mazat
- Laboratory Investigation
- 2000

Mitochondrial pathologies are a heterogeneous group of metabolic disorders that are frequently characterized by anomalies of oxidative phosphorylation, especially in the respiratory chain. The… (More)

Over two hundred years ago, Waring raised the question of representing natural integers as sums of integral klh powers. At the beginning of this century, Hubert proved that, for any fixed k , the… (More)

- Jean-Marc Deshouillers, François Hennecart, Alain Plagne
- Combinatorica
- 2004

About half a century ago, some authors, among others M. Kneser and G. A. Freiman, began a systematic study of what is now called “inverse additive number theory” (see [7] for a review of this theory… (More)

Abstract. The main goal of this paper is to study the behavior of subsequences uc = {u(⌊nc⌋) : n ∈ N} of automatic sequences u that are indexed by [n] for some c > 1. In particular we show that the… (More)

- Gilles Durrieu, T. Letellier, Jaromír Antoch, Jean-Marc Deshouillers, Monique Malgat, Jean-Pierre Mazat
- Molecular and Cellular Biochemistry
- 1997

The mitochondrial pathologies are a heterogeneous group of metabolic disorders that are characterized by anomalies of oxidative phosphorylation, especially in the respiratory chain. The diagnosis of… (More)

i = 20 ,21 , . . . , 30 . A heuristic model is given which predicts the average number of steps needed to verify the Goldbach conjecture on a given interval. Our experimental results are in good… (More)

It is clear that the number of distinct representations of a number n as the sum of two primes is at most the number of primes in the interval [n/2, n-2]. We show that 210 is the largest value of n… (More)

Let p be a sufficiently large prime and A be a sum-free subset of Z/pZ; improving on a previous result of V. F. Lev, we show that if |A| = card(A) > 0.324p, then A is contained in a dilation of the… (More)

In this paper, we study (random) sequences of pseudo s-th powers, as introduced by Erdős and Rényi in 1960. In 1975, Goguel proved that such a sequence is almost surely not an asymptotic basis of… (More)

- Francine Delmer, Jean-Marc Deshouillers
- Periodica Mathematica Hungarica
- 2002

We prove that for any positive real number c which is not an integer, the density of the integers n which are coprime to [n] is 6/π, a result conjectured by Moser, Lambek and Erdős.