Irrationality measures for the series of reciprocals from recurrence sequences

JOURNAL OF NUMBER THEORY

卷:96

Article

Matala-Aho, T ; Prévost, M

关键词: Pade approximation;    q-hypergeometric;    irrationality measure;    recurrence;    Fibonomials;   

DOI  :  10.1006/jnth.2002.2795

来源: Elsevier

【 摘 要 】

Using Pade approximations of Heine's q-hypergeometric series we obtain new irrationality measures for the values of the series Sigma(n=1)(infinity) t(n)/W-n, where W-n, is a Fibonacci or Lucas type arithmetical form satisfying the recurrence Wn+2 = rW(n+1) + sW(n), r,s is an element of Q* with initial values W-1, W-2 and t is an element of Q. (C) 2002 Elsevier Science (USA).

【 授权许可】

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