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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/803688

Title: Diophantine properties of numbers related to Catalan's constant
Author/Creator: Rivoal, T.; Zudilin, W.
Description: This article deals with Dirichlet’s beta function. Using the recursion (37), we have verified numerically (up to n = 1000) that 16ⁿ ·un ∊ℤand d²₂n · 16ⁿ · vn ∊ℤ: this is more that one can get from Lemma 6, although it is not sufficient to prove the irrationality of Catalan’s constant.
Relation: Mathematische Annalen Vol. 326, Issue 4, p. 705-721
Publisher Link: http://dx.doi.org/10.1007/s00208-003-0420-2
Date: 2003
Publisher: Springer-Verlag
Keyword(s): Catalan's constant; Dirichlet’s beta function; integers; Lindemann’s theorem
Resource Type: journal article
Rights: The final publication is available at www.springerlink.com
Identifier: http://hdl.handle.net/1959.13/803688
Identifier: ISSN:0025-5831

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