Digital functions and sums involving the largest prime factor of an integer

DOI10.1007/S10474-016-0580-7zbMath1399.11025OpenAlexW2296851480MaRDI QIDQ1701330

Peng Zhang

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0580-7

zbMATH Keywords

largest prime factor\(k\)-free number\(q\)-additive function

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Trigonometric and exponential sums (general theory) (11L03) Distribution of primes (11N05)

Cites Work

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• On the digits of shifted primes
• On the arithmetic structure of sets characterized by sum of digits properties
• Weyl sums over integers with affine digit restrictions
• The distribution of the average prime divisor of an integer
• Sums involving the largest prime divisor of an integer. II
• Distributional properties of the largest prime factor
• Théorème des nombres premiers pour les fonctions digitales
• On sums involving reciprocals of the largest prime factor of an integer II
• On a problem in additive number theory

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