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A Database of Continued Fractions of Polynomial Type

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arxiv 2409.06086 v4 pith:CCLO3HKG submitted 2024-09-09 math.NT math.CV

Henri Cohen This is my paper · ORCID
classification math.NTmath.CV
keywords databasecontinuedfractionspolynomialcoefficientsconstantscontentsdescribe
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We describe a database of 1883 continued fractions with polynomial coefficients, of which more than 1600 are new, both for interesting constants and for transcendental functions, and provide the database inside the \TeX\ source of the paper. Look in particular at the section ``Table of Contents''.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Continued Fractions and Irrationality Measures for Chowla--Selberg Gamma Quotients

    math.NT 2025-09 conditional novelty 7.0 of 10

    New continued fractions yield the first proved reasonable irrationality measures for Chowla–Selberg gamma quotients, including μ(CS(-3)) < 5.548 and μ(CS(-163)) < 2.477.

  2. Continued Fractions of Polynomial Type: Theory and Encyclopedic Dictionary

    math.NT 2026-07 conditional novelty 6.5 of 10

    A theory-plus-dictionary of polynomial-type continued fractions with explicit convergence rates and Apéry-style accelerations, mostly new or newly quantified.

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