Multiplicative functions additive on polygonal numbers

Author:

Kim Byungchan,Kim Ji Young,Lee Chong GyuORCID,Park Poo-Sung

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference11 articles.

1. Bašić, B.: Characterization of aritheoremetic functions that preserve the sum-of-squares operation. Acta Math. Sin. 30, 689–695 (2014)

2. Chung, P.V.: Multiplicative functions satisfying the equation $$f(m^2 +n^2) = f(m^2)+f(n^2)$$. Math. Slovaca 46, 165–171 (1996)

3. Chung, P.V., Phong, B.M.: Additive uniqueness sets for multiplicative functions. Publ. Math. Debrecen 55, 237–243 (1999)

4. Dubickas, A., Šarka, P.: On multiplicative functions which are additive on sums of primes. Aequat. Math. 86, 81–89 (2013)

5. Fang, J.-H.: A characterization of the identity function with equation $$f(p+q+r)=f(p)+f(q)+f(r)$$. Combinatorica 31, 697–701 (2011)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. MULTIPLICATIVE FUNCTIONS k-ADDITIVE ON GENERALISED OCTAGONAL NUMBERS;Bulletin of the Australian Mathematical Society;2024-08-27

2. ON A -ADDITIVE UNIQUENESS SET FOR MULTIPLICATIVE FUNCTIONS;Bulletin of the Australian Mathematical Society;2022-02-08

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