Quadratic factors of f(x) -g(y)
Yuri F. Bilu
Acta Arithmetica, Tome 89 (1999), p. 341-355 / Harvested from The Polish Digital Mathematics Library
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207332
@article{bwmeta1.element.bwnjournal-article-aav90i4p341bwm,
     author = {Yuri F. Bilu},
     title = {Quadratic factors of f(x) -g(y)},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {341-355},
     zbl = {0935.12003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav90i4p341bwm}
}
Yuri F. Bilu. Quadratic factors of f(x) -g(y). Acta Arithmetica, Tome 89 (1999) pp. 341-355. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav90i4p341bwm/

[000] [1] Yu. F. Bilu and R. F. Tichy, The Diophantine equation f(x) = g(y), submitted. | Zbl 0958.11049

[001] [2] P. Cassou-Noguès et J.-M. Couveignes, Factorisations explicites de g(y)- h(z), Acta Arith. 87 (1999), 291-317. | Zbl 0923.12004

[002] [3] W. Feit, On symmetric balanced incomplete block designs with doubly transitive automorphism groups, J. Combin. Theory Ser. A 14 (1973), 221-247. | Zbl 0278.05016

[003] [4] W. Feit, Some consequences of the classification of finite simple groups, in: Proc. Sympos. Pure Math. 37, Amer. Math. Soc., 1980, 175-181. | Zbl 0454.20014

[004] [5] M. Fried, On a conjecture of Schur, Michigan Math. J. 17 (1970), 41-55.

[005] [6] M. Fried, The field of definition of function fields and a problem in the reducibility of polynomials in two variables, Illinois J. Math. 17 (1973), 128-146. | Zbl 0266.14013

[006] [7] M. Fried, On a theorem of Ritt and related Diophantine problems, J. Reine Angew. Math. 264 (1974), 40-55. | Zbl 0278.12101

[007] [8] M. Fried, Exposition on an arithmetic-group theoretic connection via Riemann's existence theorem, in: Proc. Sympos. Pure Math. 37, Amer. Math. Soc., 1980, 571-601.

[008] [9] M. Fried, Variables separated polynomials, the genus 0 problem and moduli spaces, in: Number Theory in Progress (Zakopane, 1997), de Gruyter, 1999, 169-228. | Zbl 1053.14509

[009] [10] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983. | Zbl 0528.14013

[010] [11] R. Lidl, G. L. Mullen and G. Turnwald, Dickson Polynomials, Pitman Monographs Surveys Pure Math. 65, Longman Sci. Tech., 1993.

[011] [12] J. F. Ritt, Prime and composite polynomials, Trans. Amer. Math. Soc. 23 (1922), 51-66. | Zbl 48.0079.01

[012] [13] D. J. S. Robinson, A Course in the Theory of Groups, Grad. Texts in Math. 80, Springer, 1982.

[013] [14] A. Schinzel, Selected Topics on Polynomials, The Univ. of Michigan Press, Ann Arbor, MI, 1983.

[014] [15] C. L. Siegel, Über einige Anwendungen Diophantischer Approximationen, Abh. Preuss. Akad. Wiss. Phys.-Math. Kl. 1929, Nr. 1. | Zbl 56.0180.05

[015] [16] G. Turnwald, On Schur's conjecture, J. Austral. Math. Soc. 58 (1995), 312-357. | Zbl 0834.11052

[016] [17] G. Turnwald, Some notes on monodromy groups of polynomials, in: Number Theory in Progress (Zakopane, 1997), de Gruyter, 1999, 539-552. | Zbl 0942.11046

[017] [18] H. A. Tverberg, A study in irreducibility of polynomials, Ph.D. thesis, Department of Mathematics, University of Bergen, 1968. | Zbl 0155.50001