From powers of cosine to the Basel problem and Wallis’s product

The Basel problem asks for the exact value of the reciprocal-square series; its celebrated evaluation is ∑n=1∞⁡1n2=π26. The problem was posed by Pietro Mengoli in 1650 and famously solved by Euler ...

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Publication Details

Journal
The Mathematical Gazette
Published
2026-09-04
DOI
https://doi.org/10.1080/00255572.2026.2722067
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

From powers of cosine to the Basel problem and Wallis’s product

Hsiu-Chuan Yeh, Hsuan‐Chi Chen
The Mathematical Gazette
History and Theory of Mathematics
article

From powers of cosine to the Basel problem and Wallis’s product

Hsiu-Chuan Yeh, Hsuan‐Chi Chen
article en

Abstract

The Basel problem asks for the exact value of the reciprocal-square series; its celebrated evaluation is ∑n=1∞⁡1n2=π26. The problem was posed by Pietro Mengoli in 1650 and famously solved by Euler ...

The Mathematical Gazette
University of New England (US), The New Press (US)
Openalex Percentile: Top 1%
History and Theory of Mathematics
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