The Distribution of Smooth Numbers in Arithmetic Progressions

DOI10.2307/2159561zbMath0752.11036OpenAlexW4243927560MaRDI QIDQ4005724

Antal Balog, Carl B. Pomerance

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2159561

zbMATH Keywords

integers free of large prime factorsdistribution in arithmetic progressions

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

Related Items (9)

Pseudoprime values of the Fibonacci sequence, polynomials and the Euler function ⋮ Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers ⋮ SMOOTH SQUAREFREE AND SQUAREFULL INTEGERS IN ARITHMETIC PROGRESSIONS ⋮ Conjugacy class sizes in arithmetic progression ⋮ On smooth square‐free numbers in arithmetic progressions ⋮ Note on the \(h\)th power means of distinct prime divisors of composite positive integers ⋮ DISTRIBUTION OF INTEGERS WITH PRESCRIBED STRUCTURE AND APPLICATIONS ⋮ Integers, without large prime factors, in arithmetic progressions. I ⋮ Integers without large prime factors

Cites Work

• On a problem of Oppenheim concerning Factorisatio Numerorum
• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• Integers, without large prime factors, in arithmetic progressions. I
• Integers without large prime factors, II
• Entiers Sans Grand Facteur Premier En Progressions Arithmetiques
• On the Brun-Titchmarsh theorem.
• On the Brun-Titchmarsh theorem
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