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Mathematical analysis demonstrates the derivation of the Basel problem and Wallis's product via cosine powers, highlighting an elementary trigonometric bridge between classical series.
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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Chen et al. (2026) studied this question.
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