On the degree of the $L$-function associated with an exponential sum

Alan Adolphson; Steven Sperber

Displaying similar documents to “On the degree of the $L$ -function associated with an exponential sum”

On the number of terms of a power of a polynomial

Andrzej Schinzel (1987)

Acta Arithmetica

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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)

Journal de Théorie des Nombres de Bordeaux

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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 $\begin{matrix} G (x) = \sum_{n = 0}^{\infty} \frac{x^{n}}{Q (1) Q (2) \dots Q (n)} . \end{matrix}$