- Title
- On the non-quadraticity of values of the q-exponential function and related q-series
- Creator
- Krattehthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, W.
- Relation
- Acta Arithmetica Vol. 136, p. 243-269
- Publisher Link
- http://dx.doi.org/10.4064/aa136-3-4
- Publisher
- Polska Akademia Nauk Instytut Matematyczny
- Resource Type
- journal article
- Date
- 2009
- Description
- We investigate arithmetic properties of values of the entire function F(z) = Fq(z;λ)=[formula could not be replicated], |q|>1, λ ∉ qℤ>0 that includes as special cases the Tschakaloff function (λ = 0) and the q-exponential function (λ = 1). In particular, we prove the non-quadraticity of the numbers Fq/sub>(α;λ) for integral q, rational λ and α ∉ -λqℤ>0, α ≠ 0.
- Subject
- irrationality; non-quadraticity; q-exponential function; Hankel determinant; cyclotomic polynomial
- Identifier
- http://hdl.handle.net/1959.13/934852
- Identifier
- uon:11917
- Identifier
- ISSN:0065-1036
- Language
- eng
- Full Text
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