Reducing Multiple Integrals of Beukers’s Type

DOI10.1080/00029890.2020.1815477zbMath1452.28001OpenAlexW3112898997WikidataQ114101908 ScholiaQ114101908MaRDI QIDQ5140827

Vitaliy Kushnirevych, Ulrich Abel

Publication date: 17 December 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1815477

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Integration of real functions of several variables: length, area, volume (26B15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration (28-01) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Cites Work

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• Volume of an N-simplex by multiple integration
• A Note on the Irrationality of ζ(2) and ζ(3)
• On the Sums ∑ k = -∞ ∞ (4k + 1) -n
• Double Integrals for Euler's Constant and in $\frac{4}{\pi}$ and an Analog of Hadjicostas's Formula
• An Integral Representation for the Euler Numbers
• A Note on Beukers’s and Related Double Integrals

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