Linear independence of values of Tschakaloff series
نویسنده
چکیده
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = P∞ ν=0 q −ν(ν+1)/2zν , |q| > 1. One of the open problems is proving linear independence of the values of Tq(z) with different q. The only result obtained in this direction in [1] is very restrictive. We refer an interested reader to the survey [2] for an account of known linear and algebraic independence results for values of Tschakaloff and other q-series.
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تاریخ انتشار 2007