A conjecture-generalization of Sondow's formula

2004/05/21 by Petros Hadjicostas, Hadjicostas, Petros
Mathematics · #11M06 #Advanced Mathematical Identities #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11M06

paper · pdf · doi:10.48550/arxiv.math/0405423

2 pages

arxiv created 2004/05/21 · openalex publication_date 2004/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An easy generalization of Beukers' integrals allows us to conjecture a double integral formula involving the zeta and the gamma functions. A special case of this formula is Sondow's double integral formula for Euler's constant gamma.

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