Work

Variations on a theme of Apéry

Year: 2025

Type: preprint

Abstract: Apéry's remarkable discovery of rapidly converging continued fractions with small coefficients for $ζ(2)$ and $ζ(3)$ has led to a flurry of important activity in an incredible variety of different directions. Our purpose is to show that modifications of Apéry's continued fractions can give interesting results including new rapidly convergent continued fractions for certain interesting constants.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.48550/arxiv.2501.10090

Authors: Cohen, Henri, Zudilin, Wadim

Institutions: Institut de Mathématiques de Bordeaux, CANARI: Analyse cryptographique et arithmétique, Radboud University Nijmegen

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4406604112

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