Counting solutions of decomposable form equations
G. R. Everest ; K. Győry
Acta Arithmetica, Tome 80 (1997), p. 173-191 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:206974
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     author = {G. R. Everest and K. Gy\H ory},
     title = {Counting solutions of decomposable form equations},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {173-191},
     zbl = {0883.11015},
     language = {en},
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G. R. Everest; K. Győry. Counting solutions of decomposable form equations. Acta Arithmetica, Tome 80 (1997) pp. 173-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav79i2p173bwm/

[000] [1] G. R. Everest, Diophantine approximation and the distribution of normal integral generators, J. London Math. Soc. 28 (1983), 227-237. | Zbl 0521.12006

[001] [2] G. R. Everest, A 'Hardy-Littlewood' approach to the norm form equation, Math. Proc. Cambridge Philos. Soc. 104 (1988), 421-427. | Zbl 0659.10051

[002] [3] G. R. Everest, On the solution of the norm-form equation, Amer. J. Math. 114 (1992), 667-681. | Zbl 0755.11012

[003] [4] G. R. Everest, Mean values of algebraic linear forms, Proc. London Math. Soc. 70 (1995), 529-555. | Zbl 0828.11035

[004] [5] J.-H. Evertse and K. Győry, The number of families of solutions of decomposable form equations, Acta Arith., to appear. | Zbl 0886.11015

[005] [6] K. Győry, Sur une classe des corps de nombres algébriques et ses applications, Publ. Math. Debrecen 22 (1975), 151-175. | Zbl 0336.12005

[006] [7] K. Győry, On the numbers of families of solutions of systems of decomposable form equations, Publ. Math. Debrecen 42 (1993), 65-101. | Zbl 0792.11004

[007] [8] K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen II, Acta Arith. 32 (1977), 349-363. | Zbl 0314.12015

[008] [9] K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen III, Acta Arith. 37 (1980), 143-165. | Zbl 0387.10010

[009] [10] G. Karpilovsky, Unit Groups of Classical Rings, Oxford University Press, 1988. | Zbl 0658.12002

[010] [11] W. M. Schmidt, Norm form equations, Ann. of Math. 96 (1972), 526-551. | Zbl 0226.10024

[011] [12] S. Sehgal, Topics in Group Rings, Dekker, New York, 1978 | Zbl 0411.16004