Mignotte, Maurice (Author)
Stefanescu, Doru (Author)
We analyse two little known papers of N.Bernoulli (1708) and F.T.Schubert (1794) on the factorization of integer polynomials as well as the work of L.Kronecker and B.A.Hausmann on the same topic. The factorization method of Bernoulli-Schubert uses the calculus and the interpolation of finite differences. It was rediscovered by Kronecker (1882), who used Lagrange interpolation. Both procedures allow the effective factorization of polynomials having small degrees and coefficients. An algorithm combining the results of Bernoulli-Schubert and Kronecker was obtained by B.A.Hausmann. His method is particularly useful for the factorization of stable polynomials. The three methods are briefly compared with modern factorization algorithms.
...More
Article
Staffan Rodhe;
(2017)
A Forgotten Booklet by Goldbach now Rediscovered and Three Versions of its Contents
(/isis/citation/CBB218987071/)
Article
Meusnier, Norbert;
(2006)
Nicolas, neveu exemplaire
(/isis/citation/CBB001021370/)
Book
Boniface, Jacqueline;
(2002)
Les constructions des nombres réels dans le mouvement d'arithmétisation de l'analyse
(/isis/citation/CBB000771381/)
Article
Blay, Michel;
(2001)
De l'apparition subreptice des futures formules de conservation à l'occasion de l'algorithmisation de la science du mouvement au tournant des XVIIe et XVIIIe siècles
(/isis/citation/CBB000770922/)
Article
Chen, Jiang-Ping Jeff;
(2011)
Re-examining Dai Zhen's Gougu geyuan ji in Terms of Construction and Mathematical Principles
(/isis/citation/CBB001210054/)
Article
Martin, Ryan;
Ghosh, Jayanta K.;
(2008)
Stochastic Approximation and Newton's Estimate of a Mixing Distribution
(/isis/citation/CBB001035741/)
Article
Grugnetti, Lucia;
(1986)
L'equazione di Riccati: Un carteggio inedito tra Jacopo Riccati e Nicola II Bernoulli
(/isis/citation/CBB000063099/)
Article
Cédric Vergnerie;
(2020)
Une controverse entre Émile Picard et Leopold Kronecker
(/isis/citation/CBB977640957/)
Book
Gauthier, Yvon;
(2002)
Internal Logic: Foundations of Mathematics from Kronecker to Hilbert
(/isis/citation/CBB000301820/)
Article
Brechenmacher, Frédéric;
(2007)
La controverse de 1874 entre Camille Jordan et Leopold Kronecker
(/isis/citation/CBB000930655/)
Article
Carvais, Robert;
(2006)
Anticipation et réception de la thèse de droit de Nicolas Bernoulli (1709)
(/isis/citation/CBB001021366/)
Book
Cantor, Georg;
Ferreirós, José;
(2006)
Fundamentos para una teoría general de conjuntos: Escritos y correspondencia selecta
(/isis/citation/CBB000930382/)
Chapter
Frederic Brechenmacher;
(2016)
Algebraic Generality versus Arithmetic Generality in the Controversy between C. Jordan and L. Kronecker (1874)
(/isis/citation/CBB161025614/)
Article
Robinet, André;
(1991)
La conquête de la chaire de mathématiques de Padoue par les leibniziens
(/isis/citation/CBB000029834/)
Article
Pradier, Pierre-Charles;
(2006)
De usu artis conjectandi in jure: quid de oeconomia (politica)?
(/isis/citation/CBB001021374/)
Book
Robinet, André;
(1991)
L'empire leibnizien: La conquête de la Chaire de mathématiques de l'Université de Padoue: Jakob Hermann et Nicolas Bernoulli (1707-1719). Avec de nombreuses lettres inédites de J. et N. Bernoulli, M.A. Fardella, B. Fontenelle, D. Guglielmini, J. Hermann, G. W. Leibniz, A. Michelotti, P. Varignon, etc. Avec la collaboration de Maria-Vittoria Predaval et Nelly Bruyère
(/isis/citation/CBB000034260/)
Article
Takács, Lajos;
(1980)
The problem of coincidences
(/isis/citation/CBB000004698/)
Article
Hawkins, Thomas;
(2008)
Frobenius and the Symbolical Algebra of Matrices
(/isis/citation/CBB000773887/)
Chapter
Fellmann, Emil A.;
(1996)
Partielle Differentiation im Briefwechsel Eulers mit Niklaus I Bernoulli: Eine Miszelle
(/isis/citation/CBB000070674/)
Article
Boniface, Jacqueline;
Schappacher, Norbert;
(2001)
“Sur le concept de nombre en mathématique”: Cours inédit de Leopold Kronecker à Berlin (1891)
(/isis/citation/CBB000770907/)
Be the first to comment!