During the preparation of this paper, the first author was partially supported by project MTM2014-55421-P from the Ministerio de Economia y Competitividad and the second author was partially supported by Australian Research Council Grant DP140100118
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Dirichlet’s theorem on primes in arithmetic progressions states that for any positive integer q and ...
We determine, up to multiplicative constants, the number of integers $n\le x$ that have no prime fac...
Integer division and perfect powers play a central role in numerous mathematical results, especially...
International audienceWe show that, for any fixed $\varepsilon > 0$ and almost all primes $p$, the $...
We obtain a new lower bound on the number of prime divisors of integers whose g-ary expansion contai...
We explore the subsequence of primes with prime subscripts, (qn), and derive its density and estimat...
We study generalised prime systems (both discrete and continuous) for which the `integer counting f...
Abstract. A long standing and almost folkloric conjecture is that the primes contain arbitrarily lon...
This is a preprint of an article published in the Illinois Journal of Mathematics, 46 (2002) no.3, p...
AbstractPrime factors of numbers with missing digits are studied. It is shown that, under certain co...
Let $p$ and $q$ be two distinct fixed prime numbers and $(n_i)_{i\geq 0}$ the sequence of consecutiv...
We answer to a Wintner's question concerning the sequence of integers composed of primes from a gi...
Let g ≥ 2 be an integer and let (u n ) n≥1 be a sequence of integers which satisfies a relation u n+...
AbstractLet ϵ(N) > 0 be a function of positive integers N and such that ϵ(N) → 0 and Nϵ(N) → ∞ as N ...
AbstractLet A, B, G0, G1 be integers, and Gn = AGn − 1 − BGn − 2 for n ≥ 2. Let further S be the set...
Dirichlet’s theorem on primes in arithmetic progressions states that for any positive integer q and ...
We determine, up to multiplicative constants, the number of integers $n\le x$ that have no prime fac...
Integer division and perfect powers play a central role in numerous mathematical results, especially...
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