- Title
- Diophantine properties of numbers related to Catalan's constant
- Creator
- Rivoal, T.; Zudilin, W.
- Relation
- Mathematische Annalen Vol. 326, Issue 4, p. 705-721
- Publisher Link
- http://dx.doi.org/10.1007/s00208-003-0420-2
- Publisher
- Springer-Verlag
- Resource Type
- journal article
- Date
- 2003
- 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.
- Subject
- Catalan's constant; Dirichlet’s beta function; integers; Lindemann’s theorem
- Identifier
- http://hdl.handle.net/1959.13/803688
- Identifier
- uon:6478
- Identifier
- ISSN:0025-5831
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
- Reviewed
- Hits: 1838
- Visitors: 2467
- Downloads: 728
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | Author final version | 110 KB | Adobe Acrobat PDF | View Details Download |