PreprintCC BY 4.0arXiv
An equivalent form of Hindman's Theorem
Abstract
We prove the equivalence of Hindman's finite sums theorem with a natural extension of Ramsey's theorem.
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BibTeX
@misc{carlucci2026equivalent,
title = {{An equivalent form of Hindman's Theorem}},
author = {Lorenzo Carlucci and Andrea D'Amico},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37159},
eprint = {2609.37159},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37159},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - An equivalent form of Hindman's Theorem
AU - Lorenzo Carlucci
AU - Andrea D'Amico
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37159
UR - https://arxiv.org/abs/2609.37159
AB - We prove the equivalence of Hindman's finite sums theorem with a natural extension of Ramsey's theorem.
ER -