On multiplicative functions with \(f(p+q+n_{0})=f(p)+f(q)+f(n_{0})\)

DOI10.1016/J.JNT.2016.01.027zbMath1360.11012OpenAlexW2301203061MaRDI QIDQ271770

Yong-Gao Chen, Jin-Hui Fang, Yueping Zheng, Pingzhi Yuan

Publication date: 20 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.01.027

zbMATH Keywords

multiplicative functionBertrand's postulateDirichlet's theoremGoldbach's conjectureidentity function

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Primes (11A41)

Related Items (3)

Multiplicative functions with $f(p+q-n_0) = f(p)+f(q)-f(n_0)$ ⋮ Additive uniqueness of PRIMES − 1 for multiplicative functions ⋮ Multiplicative functions commutable with sums of squares

Cites Work

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• On multiplicative functions which are additive on sums of primes
• Additive uniqueness sets of arithmetic functions
• A new characteristic of the identity function
• A characterization of the identity function with equation \(f(p+q+r)=f(p)+f(q)+f(r)\)
• The First Occurrence of Certain Large Prime Gaps
• Estimates of $\theta(x;k,l)$ for large values of $x$
• Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸
• On Goldbach's Problem : Proof that Almost all Even Positive Integers are Sums of Two Primes

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