Distributional properties of the largest prime factor

DOI10.1307/mmj/1133894172zbMath1090.11059OpenAlexW2083793481MaRDI QIDQ2491070

William D. Banks, Glyn Harman, Igor E. Shparlinski

Publication date: 26 May 2006

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1133894172

zbMATH Keywords

exponential sumarithmetic progressionslargest prime factor of \(n\)\(y\)--smooth

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Primes in congruence classes (11N13) Distribution of integers with specified multiplicative constraints (11N25)

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Cites Work

• Pseudorandom properties of prime factors
• On a problem of Oppenheim concerning Factorisatio Numerorum
• Integers without large prime factors
• Smooth values of shifted primes in arithmetic progressions
• Congruences and rational exponential sums with the Euler function
• On sums involving reciprocals of the largest prime factor of an integer II
• Primes in arithmetic progressions
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