Proof of the Treves theorem on the KdV hierarchy

Leonid Dickey

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On families of Pisot $E$ -sequences

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A characterization of the Bernoulli and Euler polynomials

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Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson

Rolf Wallisser (2005)

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Let $Q$ be a nonconstant polynomial with integer coefficients and without zeros at the non–negative integers. Essentially with the method of Hermite, a new proof is given on linear independence of values at rational points of the function $\begin{matrix} G (x) = \sum_{n = 0}^{\infty} \frac{x^{n}}{Q (1) Q (2) \dots Q (n)} . \end{matrix}$