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PreprintarXiv licencearXiv

A new proof of the irrationality of e

Abstract

In this short note, we provide a simple proof of the irrationality of Euler's number e, without using the classical estimates based on continued fractions or Taylor series expansions.

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BibTeX
@misc{said2026proof,
  title = {{A new proof of the irrationality of $e$}},
  author = {Achraf Ben Said},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25096},
  eprint = {2609.25096},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25096},
}
RIS
TY  - UNPB
TI  - A new proof of the irrationality of e
AU  - Achraf Ben Said
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.25096
UR  - https://arxiv.org/abs/2609.25096
AB  - In this short note, we provide a simple proof of the irrationality of Euler's number e, without using the classical estimates based on continued fractions or Taylor series expansions.
ER  -