Dances between continuous and discrete: Euler's summation formula

zbMath1168.01006arXiv1912.03527MaRDI QIDQ3602697

David J. Pengelley

Publication date: 12 February 2009

Full work available at URL: https://arxiv.org/abs/1912.03527

zbMATH Keywords

Basel problemEuler's summation formula

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of mathematics in the 18th century (01A50) History of combinatorics (05-03) History of sequences, series, summability (40-03)

Related Items (4)

Beyond the Basel problem: Euler’s derivation of the general formula for ζ (2n) ⋮ A double inequality for the Apéry constant ⋮ Asymptotic results of the remainders in the series representations for the Apéry constant ⋮ Euler’s constant: Euler’s work and modern developments

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