The equation x+y=1 in finitely generated groups

• Autorzy: F. Beukers , H. P. Schlickewei
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996-1997
• Tom: 78
• Numer: 2
• Strony: 189-199

Daty

wydano

1996

otrzymano

1996-03-18

Twórcy

autor

F. Beukers

• Department of Mathematics, University of Utrecht, Budapestlaan 6, P.O. Box 80010, 3508 TA Utrecht, The Netherlands

autor

H. P. Schlickewei

• Abteilung für Mathematik II, Universität Ulm, Helmholtzstr. 18, 89069 Ulm, Germany

Bibliografia

• [1] F. Beukers and R. Tijdeman, On the multiplicities of binary complex recurrences, Compositio Math. 51 (1984), 193-213.
• [2] F. Beukers and D. Zagier, Lower bounds for heights of points on hypersurfaces, Math. Z., to appear.
• [3] J. H. Evertse, On equations in S-units and the Thue-Mahler equation, Invent. Math. 75 (1984), 561-584.
• [4] H. P. Schlickewei, The multiplicity of binary recurrences, Invent. Math., to appear.
• [5] H. P. Schlickewei, Equations ax+by=1, Ann. of Math., to appear.
• [6] H. P. Schlickewei and W. M. Schmidt, Linear equations in variables which lie in a multiplicative group, to appear.
• [7] H. P. Schlickewei and E. Wirsing, Lower bounds for the heights of solutions of linear equations, Invent. Math., to appear