Zero-density sets containing integers with at most two prime factors

DOI10.1006/jnth.2001.2681zbMath0988.11042OpenAlexW2060128672MaRDI QIDQ5960979

Cécile Dartyge, Christian Mauduit

Publication date: 22 April 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2681

zbMATH Keywords

integers with less than three prime factorsintegers with restricted digits in base \(r\)von Mangoldt functionweighted sieve

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Radix representation; digital problems (11A63) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (17)

Arithmetics properties of substitutions and infinite automata ⋮ On integers with missing digits: sum of digits and distribution in congruence classes ⋮ Primes with one excluded digit ⋮ Primes with restricted digits ⋮ The truncated sum-of-digits function of powers ⋮ Irreducibility of random polynomials: general measures ⋮ The work of James Maynard ⋮ Primes with a missing digit: Distribution in arithmetic progressions and an application in sieve theory ⋮ Reversible primes ⋮ Sum of digits and distribution in congruence classes for palindromes with missing digits ⋮ Squarefree polynomials with prescribed coefficients ⋮ On a problem of Gelfond: the sum of digits of prime numbers ⋮ The study of collision and avalanche effect in a family of pseudorandom binary sequences ⋮ О квадратах во множестве элементов конечного поля с ограничениями на коэффициенты при разложении по базису ⋮ Divisors of numbers with missing digits ⋮ Polynomial values and generators with missing digits in finite fields ⋮ The ternary Goldbach problem with two Piatetski–Shapiro primes and a prime with a missing digit

Cites Work

• On arithmetic properties of integers with missing digits. I: Distribution in residue classes
• On arithmetic properties of integers with missing digits. II: Prime factors
• Sums of digits and almost primes
• Almost primes whose expansion in base \(r\) misses some digits
• Topics in multiplicative number theory
• Méthodes de crible et fonctions sommes des chiffres
• On the arithmetic structure of the integers whose sum of digits is fixed
• What is the Laplace Transform?
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