@article{CM_1991__79_2_169_0, author = {Evertse, Jan-Hendrik and Gy\"ory, K\'alm\'an}, title = {Effective finiteness results for binary forms with given discriminant}, journal = {Compositio Mathematica}, volume = {80}, year = {1991}, pages = {169-204}, mrnumber = {1117339}, zbl = {0746.11020}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1991__79_2_169_0} }
Evertse, J. H.; Gyory, K. Effective finiteness results for binary forms with given discriminant. Compositio Mathematica, Tome 80 (1991) pp. 169-204. http://gdmltest.u-ga.fr/item/CM_1991__79_2_169_0/
[1] Contributions to the theory of Diophantine equations. I. On the representation of integers by binary forms, Philos. Trans. Roy. Soc. London Ser. A 263 (1968), 173-191. | MR 228424 | Zbl 0157.09702
,[2] Finiteness theorems for binary forms with given discriminant, Proc. London Math. Soc. 25 (1972), 385-394. | MR 306119 | Zbl 0248.12002
and ,[3] An effective p-adic analogue of a theorem of Thue, Acta Arith. 15 (1969), 275-305. | MR 242768 | Zbl 0221.10025
,[4] On equations in S-units and the Thue-Mahler equation, Invent. Math. 75 (1984), 561-584. | MR 735341 | Zbl 0521.10015
,[5] Thue-Mahler equations with a small number of solutions, J. Reine Angew. Math. 399 (1989), 60-80. | MR 1004133 | Zbl 0675.10009
and ,[6] Disquisitiones Arithmeticae, 1801 (German translation, 2nd edn, reprinted, Chelsea Publ. New York, 1981).
,[7] Sur les polynômes à coefficients entiers et de discriminant donné, Acta Arith. 23 (1973), 419-426. | MR 437489 | Zbl 0269.12001
,[8] Sur les polynômes à coefficients entiers et de discriminant donné. II. Publ. Math. Debrecen 21 (1974), 125-144. | MR 437490 | Zbl 0303.12001
,[9] On polynomials with integer coefficients and given discriminant, V, p-adic generalizations, Acta Math. Acad. Sci. Hungar. 32 (1978), 175-190. | MR 498497 | Zbl 0402.10053
,[10] On the number of solutions of linear equations in units of an algebraic number field, Comment. Math. Helvetici 54 (1979), 583-600. | MR 552678 | Zbl 0437.12004
,[11] On the solutions of linear diophantine equations in algebraic integers of bounded norm, Ann. Univ. Sci. Budapest. Eötvös. Sect. Math. 22-23 (1979-80), 225-233. | MR 588441 | Zbl 0442.10010
,[12] Effective finiteness theorems for Diophantine problems and their applications, Academic Doctor's thesis, Debrecen, 1983 (in Hungarian).
,[13] Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely generated domains, J. Reine Angew. Math. 346 (1984), 54-100. | MR 727397 | Zbl 0519.13008
,[14] On discriminant form and index form equations, Studia Scient. Math. Hung. 12 (1977), 47-60. | MR 568462 | Zbl 0434.10014
and ,[15] Sur l'introduction des variables continues dans la théorie des nombres, J. Reine Angew. Math. 41 (1851), 191-216. | MR 1578717 | Zbl 041.1126cj
,[16] Sur les formes quadratiques, Math. Ann. 6 (1873), 366-389. | JFM 05.0109.01 | MR 1509828
and ,[17] Recherches d'arithmétique, Nouv. Mém. Acad. Berlin, 1773, 265-312, Oeuvres, III, 693-758.
,[18] Algebraic Number Theory, Addison-Wesley Publ., Reading, Mass., 1970. | MR 282947 | Zbl 0211.38404
,[19] Fundamentals of Diophantine Geometry, Springer Verlag, New York, 1983. | MR 715605 | Zbl 0528.14013
,[20] Representation of integers by binary forms, Acta. Arith. 6 (1961), 333-363. | MR 120195 | Zbl 0102.03601
and ,[21] Über die Annäherung algebraischer Zahlen durch periodische Algorithmen, Acta Math. 68 (1937), 109-144. | JFM 63.0154.01 | Zbl 0017.05701
,[22] Sur les forms quadratiques binaires indéfinies, Math. Ann. 15 (1879), 381-406. | JFM 11.0147.01
,[23] On numbers represented by binary cubic forms, Proc. London Math. Soc. 48 (1945), 198-228. | MR 9610 | Zbl 0060.12002
,[24] (Under the pseudonym X), The integer solutions of the equation y2 = axn + bxn-1 + ... +k, J. London Math. Soc. 1 (1926), 66-68. | JFM 52.0149.02
[25] Abschätzung von Einheiten, Nachr. Göttingen Math. Phys. Kl. (1969), 71-86. | MR 249395 | Zbl 0186.36703
,[26] Some effective cases of the Brauer-Siegel Theorem, Invent. Math. 23 (1974), 135-152. | MR 342472 | Zbl 0278.12005
,[27] Algebraic Number Theory, McGraw-Hill, New York, 1963. | MR 159805 | Zbl 0115.03601
,[28] Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung, Invent. Math. 62 (1981), 367-380. | MR 604833 | Zbl 0456.12003
,