A characterization of the identity with functional equations. II

DOI10.1007/s10474-015-0561-2zbMath1374.11008OpenAlexW2119881870MaRDI QIDQ520008

Yong-Cai Geng, Sumit K. Garg

Publication date: 31 March 2017

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

Full work available at URL: https://doi.org/10.1007/s10474-015-0561-2

zbMATH Keywords

functional equationdistribution of primesmultiplicative functionidentity function

Mathematics Subject Classification ID

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

Cites Work

• 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 \(f(p+q+r)=f(p)+f(q)+f(r)\)
• Approximate formulas for some functions of prime numbers
• Explicit Estimates for θ (x; 3, l) and ψ(x; 3, l)
• The large sieve
• Estimates of $\theta(x;k,l)$ for large values of $x$
• The exceptional set for the sum of a prime and a square
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