Elementary Continued Fractions for Linear Combinations of Zeta and L Values

Henri Cohen

Elementary Continued Fractions for Linear Combinations of Zeta and L Values

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arxiv 2212.01095 v1 pith:WJVXS2W7 submitted 2022-12-02 math.NT

Henri Cohen This is my paper · ORCID

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keywords combinationscontinuedelementaryfractionsvalueszetacertaincompletely

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We show how to obtain infinitely many continued fractions for certain Z-linear combinations of zeta and L values. The methods are completely elementary.

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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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