An elementary derivation of the formula of Yu.V. Nesterenko expansion in continued fraction of a number 2*$\zeta(3)$
S.N. Gladkovskii
TL;DR
This paper provides an elementary derivation of Yu.V. Nesterenko's continued fraction expansion formula for the number 2 times zeta(3), simplifying the understanding of this mathematical result.
Contribution
The paper introduces a straightforward derivation of Nesterenko's continued fraction expansion for 2*zeta(3), making the formula more accessible.
Findings
Elementary derivation of Nesterenko's formula
Simplified understanding of continued fraction expansion for 2*zeta(3)
Potential implications for number theory and special constants
Abstract
The author proposed an elementary derivation of the formula of Yu.V. Nesterenko expansion in continued fraction of a number 2*.
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Taxonomy
Topicsadvanced mathematical theories · Quantum chaos and dynamical systems