On the Distribution of the Number of Prime Factors of Sums a + b

DOI10.2307/2000909zbMath0617.10038OpenAlexW4232684521WikidataQ105836545 ScholiaQ105836545MaRDI QIDQ4726346

Helmut Maier, András Sárközy

Publication date: 1987

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000909

zbMATH Keywords

Hardy-Littlewood methodnormal distribution functionarithmetic propertiesVinogradov methodErdős-Kac theoremdense sequencessum sequences

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Arithmetic functions in probabilistic number theory (11K65)

Related Items (6)

Prime divisors in Beatty sequences ⋮ On the distribution of the sum of digits of sums \(a+b\) ⋮ Erdős and the integers ⋮ On a combinatorial method for counting smooth numbers in sets of integers ⋮ Communication complexity of some number theoretic functions ⋮ Numbers in a given set with (or without) a large prime factor

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