The number of zeros of polynomials in valuation rings of complete discretely valued fields

Andrzej Schinzel

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On the number of terms of a power of a polynomial

Andrzej Schinzel (1987)

Acta Arithmetica

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On families of Pisot $E$ -sequences

David G. Cantor (1976)

Annales scientifiques de l'École Normale Supérieure

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Reducibility of lacunary polynomials, VIII

Andrzej Schinzel (1988)

Acta Arithmetica

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A characterization of the Bernoulli and Euler polynomials

L. Carlitz (1980)

Rendiconti del Seminario Matematico della Università di Padova

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

Alan Adolphson, Steven Sperber (1988)

Compositio Mathematica

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

Differential equations and maximal ideals on the Weyl algebra $A_{2} (ℂ)$

Giuliano Bratti, Masako Takagi (2002)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “The number of zeros of polynomials in valuation rings of complete discretely valued fields”

On the number of terms of a power of a polynomial

On families of Pisot E -sequences

Reducibility of lacunary polynomials, VIII

A characterization of the Bernoulli and Euler polynomials

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

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

Differential equations and maximal ideals on the Weyl algebra A 2 ( ℂ )

On families of Pisot $E$ -sequences

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

Differential equations and maximal ideals on the Weyl algebra $A_{2} (ℂ)$