- Title
- Linear independence of values of Tschakaloff series
- Creator
- Väänänen, K.; Zudilin, W.
- Relation
- Russian Mathematical Surveys Vol. 62, Issue 1, p. 196-198
- Publisher Link
- http://dx.doi.org/10.1070/RM2007v062n01ABEH004386
- Publisher
- Turpion
- Resource Type
- journal article
- Date
- 2007
- Description
- In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ∞v=0q-v(v+1)/2zv, |q| >1. One of the open problems is proving linear independence of the values of Tq(z) with different q. The only result obtained in this direction, in [1], is very restrictive. We refer the interested reader to the survey [2] for an account of known linear and algebraic independence results for values of Tschakaloff and other q-series.
- Subject
- linear independence; Tschakaloff function; q-series; algebraic independence
- Identifier
- http://hdl.handle.net/1959.13/934863
- Identifier
- uon:11921
- Identifier
- ISSN:0036-0279
- Rights
- This is an author-created, un-copyedited version of an article accepted for publication in Russian Mathematical Surveys. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://dx.doi.org/10.1070/RM2007v062n01ABEH004386.
- Language
- eng
- Full Text
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