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On the noninjectivity of Jordan's totient functions

Hang Fu

Source record

Source: arXiv

Published: Sep 20, 2026

arXiv: 2609.23901

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Source abstract

For any positive integer kk, let JkJ_{k} be Jordan's totient function. We show that JkJ_{k} is not injective when k=3,4,6k=3,4,6.

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