Titlebook: Diophantine Approximation; Festschrift for Wolf Hans Peter Schlickewei,Klaus Schmidt,Robert F. Tic Conference proceedings 2008 Springer-Ver

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Robert Fletcher,Marie-Josée FortinThe diagonal case of the Nagell-Ljunggren equation is . and . an odd prime. The only known nontrivial solution is . and it is conjectured to be also the only such solution. However, it is not even proved that (1) has only finitely many solution.

parallelism

concise

Spatial Econometric Interaction ModellingUne inégalité de Łojasiewicz minore la valeur |f(.)| d’une fonction analytique . : ℝ.. ℝ par une puissance de la distance de . à l’ensemble des zéros de . Nous nous intéressons ici au cas arithmétique où . est un polynôme à coefficients entiers.

Graves’-disease

Deceit

Metric Discrepancy Results for Sequences {nkx} and Diophantine Equations,Let (. .) be an increasing sequence of positive integers. For 0 ≤ . ≤ 1, set

NEG

nitric-oxide

On the Diophantine Equation ,,, = ,,, with , (,)=0,Let . denote an algebraically closed field of characteristic 0, and let A.,..., A., G.,..., ... ∈ K[.] and . be a sequence of polynomials defined by the . th order linear recurring relation . Furthermore, let P(.) ∈ K[.], deg . ≥ 1. Recently, we investigated the question, what can be said about the number of solutions of the Diophantine equation

Fibrinogen

,Approximants de Padé des ,-Polylogarithmes,Considérons la série . qui converge pour tout complexe |q|. 1 et tout entier . 1. La notation ζ. est justifiée par le fait que cette fonction est un .-analogue de la fonction zêta de Riemann ζ . au sens suivant (voir [5, paragraphe 4.1], [3, Theorem 2] ou [.]),

GILD

Class Number Conditions for the Diagonal Case of the Equation of Nagell and Ljunggren,The diagonal case of the Nagell-Ljunggren equation is . and . an odd prime. The only known nontrivial solution is . and it is conjectured to be also the only such solution. However, it is not even proved that (1) has only finitely many solution.

无辜

Construction of Approximations to Zeta-Values,Polylogarithmic functions are defined by series . Due to equalities L.;(1) = ζ. 2, they play an important role in study of arithmetic properties of Riemann zeta-function ζ. at integer points.