À propos des théories de Galois finies et infinies
R. Moors (1974)
Colloquium Mathematicae
Similarity:
R. Moors (1974)
Colloquium Mathematicae
Similarity:
Tom Archibald (2011)
Revue d'histoire des mathématiques
Similarity:
A “Galois theory” of differential equations was first proposed by Émile Picard in 1883. Picard, then a young mathematician in the course of making his name, sought an analogue to Galois’s theory of polynomial equations for linear differential equations with rational coefficients. His main results were limited by unnecessary hypotheses, as was shown in 1892 by his student Ernest Vessiot, who both improved Picard’s results and altered his approach, leading Picard to assert that his lay...
Ehud Hrushovski (2002)
Banach Center Publications
Similarity:
Nour Ghazi (2011)
Acta Arithmetica
Similarity:
Frédéric Brechenmacher (2011)
Revue d'histoire des mathématiques
Similarity:
This paper investigates the collections of 19th century texts in which Evariste Galois’s works were referred to in connection to those of Camille Jordan. Before the 1890s, when object-oriented disciplines developed, most of the papers referring to Galois have underlying them three main . These groups of texts were revolving around the works of individuals: Kronecker, Klein, and Dickson. Even though they were mainly active for short periods of no more than a decade, the three networks...
Szeto, George, Xue, Lianyong (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Szeto, George, Xue, Lianyong (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Szeto, George, Xue, Lianyong (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Szeto, George, Xue, Lianyong (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Szeto, George, Xue, Lianyong (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Daniel Bertrand (2002)
Banach Center Publications
Similarity:
The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this intrinsic setting, and show by explicit computations that they are sufficient in a (very) special situation.
Kurt Girstmair (2007)
Acta Arithmetica
Similarity:
Granboulan, Louis (1996)
Experimental Mathematics
Similarity:
Szeto, George, Xue, Lianyong (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Szeto, George, Xue, Lianyong (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
P. Fletcher, R. Snider (1970)
Fundamenta Mathematicae
Similarity:
Szeto, George, Xue, Lianyong (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Kurt Girstmair (1983)
Manuscripta mathematica
Similarity:
Catherine Goldstein (2011)
Revue d'histoire des mathématiques
Similarity:
Although everything seems to oppose the two mathematicians, Charles Hermite’s role was crucial in the study and diffusion of Évariste Galois’s results in France during the second half of the nineteenth century. The present article examines that part of Hermite’s work explicitly linked to Galois, the reduction of modular equations in particular. It shows how Hermite’s mathematical convictions—concerning effectiveness or the unity of algebra, analysis and arithmetic—shaped his interpretation...