Summation of Series

Zerr, G. B. M.

doi:10.1080/00029890.1898.11999816

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Quartic Algorithm (The Borweins)1

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“…While most early articles would meet today's criteria for publication, this is not true of all. For example, [20] offers a carefully organized list of 68 consequences of Euler's product for sin given in (13) with almost no English. By contrast, [6] is perhaps the first discussion of the efficiency of calculation in the MONTHLY.…”

Section: Quartic Algorithm (The Borweins)mentioning

confidence: 99%

I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly

Chapman¹,

Chapman²

2015

The American Mathematical Monthly

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Section: Quartic Algorithm (The Borweins)mentioning

confidence: 99%

I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly

Chapman¹,

Chapman²

2015

The American Mathematical Monthly

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Evaluation of Certain Alternating Series

Choi¹

2014

Honam Mathematical Journal

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Abstract. Ever since Euler solved the so-called Basler problem of ζ(2) = ∞ n=1 1/n 2 , numerous evaluations of ζ(2n) (n ∈ N) as well as ζ (2) (1)The Riemann Zeta function ζ(s) in (1) plays a central rôle in the applications of complex analysis to number theory. The number-theoretic properties of ζ(s) are exhibited by the following result known as Euler's formula, which gives a relationship between the set of primes and the set of positive integers:where the product is taken over all primes. [75, pp. 197-198] and Zygmund [90, p. 364]):

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Summation of Series

Cited by 2 publications

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I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly

I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly

Evaluation of Certain Alternating Series

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