An expansion of zeta(3) in continued fraction with parameter

2013/07/03 by L. A. Gutnik, Gutnik, L. A.
Mathematics · #11-XX #Advanced Mathematical Identities #Advanced Topology and Set Theory #FOS: Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1307.1125

openalex publication_date 2013/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present here continued fraction for Zeta(3) parametrized by some family of points (F,G) on projective line. This family of points can be obtained if from full projective line would be removed some no more than countable exeptional set of finite points. A countable set, which contains the above exeptional set of finite points, is specified also.

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