An Elementary Proof of the Irrationality of Tschakaloff Series
نویسندگان
چکیده
We present a new proof of the irrationality of values of the series Tq(z) = ∑∞ n=0 z nq−n(n−1)/2 in both qualitative and quantitative forms. The proof is based on a hypergeometric construction of rational approximations to Tq(z).
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