Euler E726: Demonstration of a remarkable numerical theorem concerning the coefficients of binomial powers | English Translation | OMH v1.0

English translation of Leonhard Euler’s “Demonstratio insignis theorematis numerici circa uncias potestatum binomialium” (E726). AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Euler Archive, https://scholarlycommons.pacific.edu/euler-works/726/; facsimile, https://archive.org/details/novaactaacademia15impe.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-04
DOI
https://doi.org/10.5281/zenodo.23135190
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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Euler E726: Demonstration of a remarkable numerical theorem concerning the coefficients of binomial powers | English Translation | OMH v1.0

Vaibhav Shakya
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

Euler E726: Demonstration of a remarkable numerical theorem concerning the coefficients of binomial powers | English Translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler’s “Demonstratio insignis theorematis numerici circa uncias potestatum binomialium” (E726). AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Euler Archive, https://scholarlycommons.pacific.edu/euler-works/726/; facsimile, https://archive.org/details/novaactaacademia15impe.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 1%
History and Theory of Mathematics
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Euler E726: Demonstration of a remarkable numerical theorem concerning the coefficients of binomial powers | English Translation | OMH v1.0 — Vaibhav Shakya · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS