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On the Values of Heine Series at Algebraic Points

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Abstract.

The paper considers linear independence measures of the values of certain q–hypergeometric series and their derivatives at algebraic points. The results are given both in the archimedean and p–adic case.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Oulu, Finland

    Olli Sankilampi & Keijo Väänänen

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  1. Olli Sankilampi
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  2. Keijo Väänänen
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Correspondence to Olli Sankilampi.

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Sankilampi, O., Väänänen, K. On the Values of Heine Series at Algebraic Points. Result. Math. 50, 141–153 (2007). https://doi.org/10.1007/s00025-006-0240-2

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  • DOI: https://doi.org/10.1007/s00025-006-0240-2

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