Evaluation of Apéry-like series through multisection method

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A Third - Order Apéry - like Recursion

In 1978, R. Apéry [1], [2] has given sequences of rational approximations to ζ(2) and ζ(3) yielding the irrationality of each of these numbers. One of the key ingredient of Apéry’s proof are second-order difference equations with polynomial coefficients satisfied by numerators and denominators of the above approximations. Recently, V.N. Sorokin [3] and this author [4], [5] have got independentl...

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ژورنال

عنوان ژورنال: Journal of Classical Analysis

سال: 2018

ISSN: 1848-5987

DOI: 10.7153/jca-2018-12-06