Abstract
A linear independence measure is obtained for the values F(t) and F(qt) of solutions F(z) of linear second order q-difference equations. From the result an irrationality measure for certain continued fractions is derived.
The first named author was supported in part by Grant-in-Aid for Scientific Research (No. 13640007), the Ministry of Education, Science, Sports and Culture of Japan.
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Dedicated to Professor Iekata Shiokawa on his 60th birthday
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Amou, M., Matala-aho, T. (2002). Arithmetical Properties of Solutions of Linear Second Order q-Difference Equations. In: Kanemitsu, S., Jia, C. (eds) Number Theoretic Methods. Developments in Mathematics, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3675-5_2
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DOI: https://doi.org/10.1007/978-1-4757-3675-5_2
Publisher Name: Springer, Boston, MA
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