Results 91 to 100 of about 287 (124)

Some Diophantine equations in three variables with only finitely many solutions

Mathematika, 1967
W. Schmidt
openaire   +4 more sources

Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the finite simple group classification

Science China Mathematics, 2010
Davenport’s Problem asks: What can we expect of two polynomials, over Z, with the same ranges on almost all residue class fields? This stood out among many separated variable problems posed by Davenport, Lewis and Schinzel.By bounding the degrees, but ...
M. Fried
semanticscholar   +2 more sources

A new method of solving certain quartic and higher degree diophantine equations

International Journal of Number Theory, 2018
In this paper, we present a new method of solving certain quartic and higher degree homogeneous polynomial diophantine equations in four variables. The method can also be applied to some diophantine systems in five or more variables.
A. Choudhry
semanticscholar   +1 more source

The complexity of sparse Hensel lifting and sparse polynomial factorization

Journal of symbolic computation, 2020
The standard approach to factor a multivariate polynomial in Z [ x 1 , x 2 , … , x n ] is to factor a univariate image in Z [ x 1 ] then recover the multivariate factors from their univariate images using a process known as multivariate Hensel lifting ...
M. Monagan, Baris Tuncer
semanticscholar   +1 more source

Properties of a System of Diophantine Equations with Implications for Real-World Constrained Branching Processes

Science Journal of Applied Mathematics and Statistics
We consider an iterative branching process in which an abstract object can subdivide into other objects. The multiplication process may be varied by the occurrence of random "fatal" events in which some of the subsequent objects or states may fail.
Giuseppe Alberti
semanticscholar   +1 more source

84.57 Solving general linear diophantine equations

Mathematical Gazette, 2000
M. Fox
semanticscholar   +1 more source

Analytic methods for Diophantine equations and Diophantine inequalities, by Harold Davenport

, 2005
T. Browning
semanticscholar   +1 more source

Linear Diophantine Equations

, 1988
U. Banerjee
semanticscholar   +1 more source