- Title
- An elementary proof of the irrationality of Tschakaloff series
- Creator
- Zudilin, W.
- Relation
- Journal of Mathematical Sciences Vol. 146, Issue 2, p. 5669-5673
- Publisher Link
- http://dx.doi.org/10.1007/s10958-007-0382-0
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2007
- Description
- We present a new proof of the irrationality of values of the series Tq(z)= ∞/∑/n=0 znq-n(n-1)/2 in both qualitative and quantitative forms. The proof is based on a hypergeometric construction of rational approximations to Tq(z).
- Subject
- mathematics; Tschakaloff series; irrationality; linear independence
- Identifier
- http://hdl.handle.net/1959.13/934860
- Identifier
- uon:11923
- Identifier
- ISSN:1072-3374
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
- Reviewed
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| Thumbnail | File | Description | Size | Format | |||
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