PreprintarXiv licencearXiv
On the noninjectivity of Jordan's totient functions
Abstract
For any positive integer k, let Jk be Jordan's totient function. We show that Jk is not injective when k=3,4,6.
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BibTeX
@misc{fu2026noninjectivity,
title = {{On the noninjectivity of Jordan's totient functions}},
author = {Hang Fu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23901},
eprint = {2609.23901},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23901},
}
RIS
TY - UNPB
TI - On the noninjectivity of Jordan's totient functions
AU - Hang Fu
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23901
UR - https://arxiv.org/abs/2609.23901
AB - For any positive integer k, let J_k be Jordan's totient function. We show that J_k is not injective when k=3,4,6.
ER -