Let ε>0. It is proved that the range (x, x+x1/2+ε) has such an integer that one of its prime factors p≥x11/12-ε
Under the Riemann hypothesis and the conjecture that the order of growth of the argument of ζ(1/2 + ...
Denote by P + (n) the largest prime factor of an integer n. One of Erdős-Turán's conjectures asserts...
We study the problem of bounding the number of primes p ≤ x in an arithmetic progression for which t...
Let ε>0. It is proved that the range (x, x+x1/2+ε) has such an integer that one of its prime fact...
AbstractTwo results are obtained about P(n), the largest prime factor of an integer n. The average v...
AbstractLet u > 3 and β > √e/(√e−1) be real numbers and let β0=β−√e/(√e−1). Let a and q be relativel...
Dans cette thèse, on s'intéresse aux plus grands facteur premiers d'entiers consécutifs. Désignons p...
For each integer n ≥ 2, let P(n) denote its largest prime factor. Let S:= {n ≥ 2: n does not divide ...
For each integer n ≥ 2, let P(n) denote its largest prime factor. Let S:= {n ≥ 2: n does not divide ...
AbstractFor an integer n >- 2, let P(n) be the largest prime factor of n. For an arbitrary strongly ...
Denote by P the set of all primes and by P (n) the largest prime factor of integer n 1 with the conv...
The largest exponent of the prime powers function is investigated on the set of numbers of form one ...
Let §P^+ (n) §denote the largest prime factor of the integer §n§ and §P ^+ y (n)§ denote the largest...
Let P denote the set of prime numbers, and let P(n) denote the largest prime factor of an integer n ...
International audienceDenote by P the set of all primes and by P + (n) the largest prime factor of i...
Under the Riemann hypothesis and the conjecture that the order of growth of the argument of ζ(1/2 + ...
Denote by P + (n) the largest prime factor of an integer n. One of Erdős-Turán's conjectures asserts...
We study the problem of bounding the number of primes p ≤ x in an arithmetic progression for which t...
Let ε>0. It is proved that the range (x, x+x1/2+ε) has such an integer that one of its prime fact...
AbstractTwo results are obtained about P(n), the largest prime factor of an integer n. The average v...
AbstractLet u > 3 and β > √e/(√e−1) be real numbers and let β0=β−√e/(√e−1). Let a and q be relativel...
Dans cette thèse, on s'intéresse aux plus grands facteur premiers d'entiers consécutifs. Désignons p...
For each integer n ≥ 2, let P(n) denote its largest prime factor. Let S:= {n ≥ 2: n does not divide ...
For each integer n ≥ 2, let P(n) denote its largest prime factor. Let S:= {n ≥ 2: n does not divide ...
AbstractFor an integer n >- 2, let P(n) be the largest prime factor of n. For an arbitrary strongly ...
Denote by P the set of all primes and by P (n) the largest prime factor of integer n 1 with the conv...
The largest exponent of the prime powers function is investigated on the set of numbers of form one ...
Let §P^+ (n) §denote the largest prime factor of the integer §n§ and §P ^+ y (n)§ denote the largest...
Let P denote the set of prime numbers, and let P(n) denote the largest prime factor of an integer n ...
International audienceDenote by P the set of all primes and by P + (n) the largest prime factor of i...
Under the Riemann hypothesis and the conjecture that the order of growth of the argument of ζ(1/2 + ...
Denote by P + (n) the largest prime factor of an integer n. One of Erdős-Turán's conjectures asserts...
We study the problem of bounding the number of primes p ≤ x in an arithmetic progression for which t...