Additive uniqueness sets of arithmetic functions

DOI10.1016/0022-314X(92)90022-HzbMath0756.11027MaRDI QIDQ1198938

Claudia A. Spiro

Publication date: 16 January 1993

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

zbMATH Keywords

multiplicative functionGoldbach conjectureadditive uniqueness sets

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (22)

On multiplicative functions with \(f(p+q+n_{0})=f(p)+f(q)+f(n_{0})\) ⋮ Unnamed Item ⋮ A new characteristic of the identity function ⋮ On \(k\)-additive uniqueness of the set of squares for multiplicative functions ⋮ On multiplicative functions additive on Goldbach-type sets ⋮ On multiplicative functions which are additive on sums of primes ⋮ Unnamed Item ⋮ Multiplicative functions with $f(p+q-n_0) = f(p)+f(q)-f(n_0)$ ⋮ A characterization of the identity function with equation \(f(p+q+r)=f(p)+f(q)+f(r)\) ⋮ Multiplicative functions additive on generalized pentagonal numbers ⋮ Unnamed Item ⋮ Multiplicative functions which are additive on sums of two nonzero squares ⋮ Unnamed Item ⋮ Characterization of arithmetic functions that preserve the sum-of-squares operation ⋮ Additive uniqueness of PRIMES − 1 for multiplicative functions ⋮ A characterization of the identity with functional equations. II ⋮ Unnamed Item ⋮ Multiplicative functions additive on polygonal numbers ⋮ Additively unique sets of prime numbers ⋮ Multiplicative functions which are additive on triangular numbers ⋮ Multiplicative functions commutable with sums of squares ⋮ ON A -ADDITIVE UNIQUENESS SET FOR MULTIPLICATIVE FUNCTIONS

Cites Work

• On the smallest square-free number of an arithmetic sequence.
• Frequency of coprimality of the values of a polynomial and a prime-independent multiplicative function
• Approximate formulas for some functions of prime numbers
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