Add to ORKGOn the number of prime factors of a finite arithmetical progression by T. N. Shorey (Bombay) and R. Tijdeman (Leiden
AbstractWe study in this paper a new duality identity between large and small prime factors of integ...
AbstractLet G(x;q,a):=maxPn⩽x(Pn+1−Pn),Pn‵Pn+1‵amodq where (a, q) = 1 and Pn, Pn + 1 are consecutive...
Prime NumbersThe fundamental theorem of arithmetic (or unique factorization theorem) states that eve...
We study the problem of bounding the number of primes p ≤ x in an arithmetic progression for which t...
We describe some of the machinery behind recent progress in establish-ing infinitely many arithmetic...
Perfect powers in products of terms in an arithmetical progression III by T. N. Shorey (Bombay) and ...
Let d ≥ 1, k ≥ 2, n ≥ 1 and y ≥ 1 be integers with gcd(n, d) = 1. We write ∆ = ∆(n, d, k) = n(n+ ...
This is an article for a general mathematical audience on the author's work, joint with Terence Tao,...
AbstractLet Nm(x) be the number of arithmetic progressions that consist of m terms, all primes and n...
We follow a research paper that J. Elstrodt published in 1998 to prove the Prime Number Theorem for ...
For any integer n ≥ 1 let P (n) and p(n) denote the greatest prime factor and smallest prime factor ...
RésuméThis paper is concerned with the quantityN(x,m), the number of positive integersn, 1⩽n⩽x, for ...
To all the people that encouraged me to study mathematics and all the people I’ve met through these ...
Prime NumbersThe fundamental theorem of arithmetic (or unique factorization theorem) states that eve...
A finite ncreasing sequence {pn}, (n=1, 2, 3, ・・・, t) of prime numbers, (t〓3), is called an arithmet...
AbstractWe study in this paper a new duality identity between large and small prime factors of integ...
AbstractLet G(x;q,a):=maxPn⩽x(Pn+1−Pn),Pn‵Pn+1‵amodq where (a, q) = 1 and Pn, Pn + 1 are consecutive...
Prime NumbersThe fundamental theorem of arithmetic (or unique factorization theorem) states that eve...
We study the problem of bounding the number of primes p ≤ x in an arithmetic progression for which t...
We describe some of the machinery behind recent progress in establish-ing infinitely many arithmetic...
Perfect powers in products of terms in an arithmetical progression III by T. N. Shorey (Bombay) and ...
Let d ≥ 1, k ≥ 2, n ≥ 1 and y ≥ 1 be integers with gcd(n, d) = 1. We write ∆ = ∆(n, d, k) = n(n+ ...
This is an article for a general mathematical audience on the author's work, joint with Terence Tao,...
AbstractLet Nm(x) be the number of arithmetic progressions that consist of m terms, all primes and n...
We follow a research paper that J. Elstrodt published in 1998 to prove the Prime Number Theorem for ...
For any integer n ≥ 1 let P (n) and p(n) denote the greatest prime factor and smallest prime factor ...
RésuméThis paper is concerned with the quantityN(x,m), the number of positive integersn, 1⩽n⩽x, for ...
To all the people that encouraged me to study mathematics and all the people I’ve met through these ...
Prime NumbersThe fundamental theorem of arithmetic (or unique factorization theorem) states that eve...
A finite ncreasing sequence {pn}, (n=1, 2, 3, ・・・, t) of prime numbers, (t〓3), is called an arithmet...
AbstractWe study in this paper a new duality identity between large and small prime factors of integ...
AbstractLet G(x;q,a):=maxPn⩽x(Pn+1−Pn),Pn‵Pn+1‵amodq where (a, q) = 1 and Pn, Pn + 1 are consecutive...
Prime NumbersThe fundamental theorem of arithmetic (or unique factorization theorem) states that eve...