arXiv Open Access 2022

On Catalan Constant Continued Fractions

David Naccache Ofer Yifrach-Stav

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Abstrak

The Ramanujan Machine project detects new expressions related to constants of interest, such as $ζ$ function values, $γ$ and algebraic numbers (to name a few). In particular the project lists a number of conjectures concerning the Catalan constant $G= 0.91596559\ldots$ We show how to generate infinitely many. We used an ad hoc software toolchain and rather tedious mathematical developments. Because we do not provide a proper peer-reviewed proof of the relations given here we do not claim them to be theorems.

Topik & Kata Kunci

cs.SC cs.DM math.NT

Penulis (2)

David Naccache

Ofer Yifrach-Stav

Format Sitasi

APA MLA BibTeX

Naccache, D., Yifrach-Stav, O. (2022). On Catalan Constant Continued Fractions. https://arxiv.org/abs/2210.15669

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓