PreprintCC BY 4.0arXiv
A Simple Proof of I. Chowla's Theorem on Addition of Residue Classes
Abstract
We present a brief, elementary proof of a striking theorem by I. Chowla on the addition of residue classes (1937) which generalizes the famous result of Cauchy and Davenport to residue classes modulo a composite.
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BibTeX
@misc{duncan2026simple,
title = {{A Simple Proof of I. Chowla's Theorem on Addition of Residue Classes}},
author = {Drew Duncan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22427},
eprint = {2610.22427},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22427},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Simple Proof of I. Chowla's Theorem on Addition of Residue Classes
AU - Drew Duncan
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.22427
UR - https://arxiv.org/abs/2610.22427
AB - We present a brief, elementary proof of a striking theorem by I. Chowla on the addition of residue classes (1937) which generalizes the famous result of Cauchy and Davenport to residue classes modulo a composite.
ER -