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arXiv · 2302.04037

Prime numbers as a uniqueness set of the parallelogram equation via the Goldbach's conjecture

Hee Chul Pak·Dongseung Kang
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Abstract

Multiplicative arithmetic functions satisfying the parallelogram functional equation on prime numbers are investigated. It is derived that the unique solution is a quadratic function by the Goldbach's conjecture.

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Hee Chul Pak, Dongseung Kang. 2023-02-08. Prime numbers as a uniqueness set of the parallelogram equation via the Goldbach's conjecture. https://arxiv.org/abs/2302.04037

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