Multiplicative Functions Additive on the Sums of Two Positive Triangular Numbers
Poo-Sung Park
Department of Mathematics Education
Kyungnam University
Changwon 517670
South Korea
Abstract:
Let T2 be the set of sums of two
positive triangular numbers. If a multiplicative function f satisfies f(a+b) = f(a) + f(b) for all a,b ∈ T2, then f is the identity function provided that f(n) ≠ 0 for some n ≠ 1,3,5.
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(Concerned with sequences
A051533.)
Received December 31 2024; revised versions received August 14 2025; September 1 2025.
Published in Journal of Integer Sequences,
September 8 2025.
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