Effective bounds for the zeros of linear recurrences in function fields

Clemens Fuchs; Attila Pethő

Displaying similar documents to “Effective bounds for the zeros of linear recurrences in function fields”

Model theory of fields: An application to positive semidefinite polynomials

Alexander Prestel (1984)

Mémoires de la Société Mathématique de France

Similarity:

An upper bound for positive solutions of the equation $Δ u = u^{α}$ .

Kuznetsov, S.E. (2004)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Similarity:

Simultaneous approximations of algebraic numbers

Enrico Bombieri (1971-1972)

Séminaire Bourbaki

Similarity:

Irregular imaginary fields

Konstantin Selucký, Ladislav Skula (1981)

Archivum Mathematicum

Similarity:

The product of $N$ linear forms in a field of series and the Riemann hypothesis for curves

J. V. Armitage (1971)

Mémoires de la Société Mathématique de France

Similarity:

On blocks of arithmetic progressions with equal products

N. Saradha (1997)

Journal de théorie des nombres de Bordeaux

Similarity:

Let $f (X) \in ℚ [X]$ be a monic polynomial which is a power of a polynomial $g (X) \in ℚ [X]$ of degree $μ \geq 2$ and having simple real roots. For given positive integers $d_{1}, d_{2}, ℓ, m$ with $ℓ < m$ and gcd $(ℓ, m) = 1$ with $μ \leq m + 1$ whenever $m < 2$ , we show that the equation $f (x) f (x + d_{1}) \dots f (x + (ℓ k - 1) d_{1}) = f (y) f (y + d_{2}) \dots f (y + (m k - 1) d_{2})$ with $f (x + j d_{1}) \neq 0$ for $0 \leq j < ℓ k$ has only finitely many solutions in integers $x, y$ and $k \geq 1$ except in the case $m = μ = 2, ℓ = k = d_{2} = 1, f (X) = g (X), x = f (y) + y .$

CAPS in Z(2,n)

Kurz, Sascha (2009)

Serdica Journal of Computing

Similarity:

We consider point sets in (Z^2,n) where no three points are on a line – also called caps or arcs. For the determination of caps with maximum cardinality and complete caps with minimum cardinality we provide integer linear programming formulations and identify some values for small n.

Displaying similar documents to “Effective bounds for the zeros of linear recurrences in function fields”

Model theory of fields: An application to positive semidefinite polynomials

An upper bound for positive solutions of the equation Δ u = u α .

Simultaneous approximations of algebraic numbers

Irregular imaginary fields

The product of N linear forms in a field of series and the Riemann hypothesis for curves

On blocks of arithmetic progressions with equal products

CAPS in Z(2,n)

An upper bound for positive solutions of the equation $Δ u = u^{α}$ .

The product of $N$ linear forms in a field of series and the Riemann hypothesis for curves