Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms
Displaying 41 – 60 of 165
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations
N. Tzanakis (1996)
Acta Arithmetica
Solving elliptic diophantine equations: the general cubic case
Roelof J. Stroeker, Benjamin M. M. de Weger (1999)
Acta Arithmetica
Solving linear systems of equations over integers with Gröbner bases
Amir Hashemi (2014)
Acta Arithmetica
We introduce a novel application of Gröbner bases to solve (non-homogeneous) systems of integer linear equations over integers. For this purpose, we present a new algorithm which ascertains whether a linear system of equations has an integer solution or not; in the affirmative case, the general integer solution of the system is determined.
Solving parametrized systems of Pell equations
Paulo Ribenboim (2005)
Acta Arithmetica
Solving the equation x3 - y2 = r in number fields.
Michael Laska (1982)
Journal für die reine und angewandte Mathematik
Some applications of Baker's sharpened bounds to diophantine equations
Robert Tijdeman (1974/1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Some applications of decomposable form equations to resultant equations
K. Győry (1993)
Colloquium Mathematicae
1. Introduction. The purpose of this paper is to establish some general finiteness results (cf. Theorems 1 and 2) for resultant equations over an arbitrary finitely generated integral domain R over ℤ. Our Theorems 1 and 2 improve and generalize some results of Wirsing [25], Fujiwara [6], Schmidt [21] and Schlickewei [17] concerning resultant equations over ℤ. Theorems 1 and 2 are consequences of a finiteness result (cf. Theorem 3) on decomposable form equations over R. Some applications of Theorems...
Some aspects of Davenport's work
L. Mordell (1971)
Acta Arithmetica
Some bases of the Stickelberger ideal
Ladislav Skula (1993)
Mathematica Slovaca
Some classes of Diophantine equations connected with McFarland's and Ma's conjectures
Zhenfu Cao, Aleksander Grytczuk (2000)
Discussiones Mathematicae - General Algebra and Applications
In this paper we consider some special classes of Diophantine equations connected with McFarland's and Ma's conjectures about difference sets in abelian groups and we obtain an extension of known results.
Some Diophantine equations of the form .
Andrica, Dorin, Tudor, Gheorghe M. (2005)
General Mathematics
Some diophantine equations of the form
Bjorn Poonen (1998)
Acta Arithmetica
Some diophantine equations solvable by identities
A. Mąkowski (1972)
Acta Arithmetica
Some diophantine equations with many solutions
P. Erdös, C. L. Steward, R. Tijdeman (1988)
Compositio Mathematica
Some estimates for diagonal equations over p-adic fields
M. Dodson (1982)
Acta Arithmetica
Some Examples of Weber-Hecke Ring Class Field Theory.
Harvey Cohn (1983)
Mathematische Annalen
Some experimental results on the Frobenius problem.
Beck, Matthias, Einstein, David, Zacks, Shelemyahu (2003)
Experimental Mathematics
Some extensions and refinements of a theorem of Sylvester
N. Saradha, T. N. Shorey, R. Tijdeman (2002)
Acta Arithmetica
Some fourth degree Diophantine equations in Gaussian integers.
Szabó, Sándor (2004)
Integers