A new characteristic of the identity function

DOI10.1006/jnth.1997.2108zbMath0871.11063OpenAlexW1993240810MaRDI QIDQ1355091

Jean-Marie De Koninck, Imre Kátai, Bui Minh Phong

Publication date: 1 October 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2108

zbMATH Keywords

multiplicative functionbounds for prime number functions

Mathematics Subject Classification ID

Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (7)

On multiplicative functions with \(f(p+q+n_{0})=f(p)+f(q)+f(n_{0})\) ⋮ On multiplicative functions which are additive on sums of primes ⋮ A characterization of the identity function with equation \(f(p+q+r)=f(p)+f(q)+f(r)\) ⋮ Characterization of arithmetic functions that preserve the sum-of-squares operation ⋮ A characterization of the identity with functional equations. II ⋮ Abelian, Tauberian, and Mercerian theorems for arithmetic sums. ⋮ Multiplicative functions commutable with sums of squares

Cites Work

• Additive uniqueness sets of arithmetic functions
• Approximate formulas for some functions of prime numbers
• Explicit Estimates for θ (x; 3, l) and ψ(x; 3, l)
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