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arXiv · 1601.05491

Pell's equation and series expansions for irrational numbers

Chuanan Wei
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Abstract

Solutions of Pell's equation and hypergeometric series identities are used to study series expansions for $\sqrt{p}$ where $p$ are arbitrary prime numbers. Numerous fast convergent series expansions for this family of irrational numbers are established.

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Chuanan Wei. 2016-01-21. Pell's equation and series expansions for irrational numbers. https://arxiv.org/abs/1601.05491

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