- Title
- Linear independence of values of Tschakaloff functions with different parameters
- Creator
- Väänänen, Keijo; Zudilin, W.
- Relation
- Journal of Number Theory Vol. 128, Issue 9, p. 2549-2558
- Publisher Link
- http://dx.doi.org/10.1016/j.jnt.2008.03.003
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2008
- Description
- We prove ℚ-linear independence results for the values of the q-series Tqt(z)= ∞ / ∑ / ν=0 q-tν(ν+1)/2zν and Θ(q-t,z)= ∞ / ∑ / ν=-∞ q-tν²zν at different rational points z ≠ 0 and with different positive integer parameters t, where q ∈ ℤ {0, ± 1}.
- Subject
- Tschakaloff functions; linear independance; parameters; q-series
- Identifier
- http://hdl.handle.net/1959.13/934656
- Identifier
- uon:11878
- Identifier
- ISSN:0022-314X
- Language
- eng
- Full Text
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