On a diophantine equation

E. Trost

Displaying similar documents to “On a diophantine equation”

Diophantine equation $\frac{q^{n} - 1}{q - 1} = y$ for four prime divisors of $y - 1$

Zdeněk Polický (2005)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this paper the special diophantine equation $\frac{q^{n} - 1}{q - 1} = y$ with integer coefficients is discussed and integer solutions are sought. This equation is solved completely just for four prime divisors of $y - 1$ .

Ramification and units of the cubic number field Q(zeta) generated by a root of x3+abx+B=0

J. R. Delgado (1987)

Extracta Mathematicae

Similarity:

On a conjecture of Morgan Ward, III

K. Kubota (1977)

Acta Arithmetica

Similarity:

The Diophantine equation $a x^{2} + 2 b x y - 4 a y^{2} = \pm 1$ .

Bapoungué, Lionel (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On the extension of the Diophantine pair ${1, 3}$ in $ℤ [\sqrt{d}]$ .

Franušić, Zrinka (2010)

Journal of Integer Sequences [electronic only]

Similarity:

Diophantine Undecidability of Holomorphy Rings of Function Fields of Characteristic 0

Laurent Moret-Bailly, Alexandra Shlapentokh (2009)

Annales de l’institut Fourier

Similarity:

Let $K$ be a one-variable function field over a field of constants of characteristic 0. Let $R$ be a holomorphy subring of $K$ , not equal to $K$ . We prove the following undecidability results for $R$ : if $K$ is recursive, then Hilbert’s Tenth Problem is undecidable in $R$ . In general, there exist $x_{1}, ..., x_{n} \in R$ such that there is no algorithm to tell whether a polynomial equation with coefficients in $ℚ (x_{1}, ..., x_{n})$ has solutions in $R$ .

On sets S.

P. Laborde (1970)

Gaceta Matemática

Similarity:

A remark on Ax's theorem on solvability modulo primes.

Lou van den Dries (1991)

Mathematische Zeitschrift

Similarity: