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A New Effective Asymptotic Formula for the Stieltjes Constants

2014/07/21 by Lazhar Fekih‐Ahmed, Fekih-Ahmed, Lazhar
Mathematics · #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1407.5567

openalex publication_date 2014/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive a new integral formula for the Stieltjes constants. The new formula permits easy computations as well as an exact approximate asymptotic formula. Both the sign oscillations and the leading order of growth are provided. The formula can also be easily extended to generalized Euler constants.

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