Title :
Groebner Bases and Solutions to Diophantine Equations
Author_Institution :
Inst. of Math., Romanian Acad., Bucharest, Romania
Abstract :
The aim of this paper is to discuss a novel application of Grobner bases in the study of Diophantine equations. The idea appeared during some work on the number of solutions of systems of Pell equations, but can be useful in other circumstances as well.
Keywords :
number theory; polynomials; Chebyshev polynomials; Diophantine equations; Grobner bases; Pell equations; number-theoretical problem; Chebyshev approximation; Concrete; Differential equations; Mathematics; Polynomials; Scientific computing; Diophantine equations; Groebner bases; classical resultants;
Conference_Titel :
Symbolic and Numeric Algorithms for Scientific Computing, 2008. SYNASC '08. 10th International Symposium on
Conference_Location :
Timisoara
Print_ISBN :
978-0-7695-3523-4
DOI :
10.1109/SYNASC.2008.13
