On cubic Thue inequalities and a result of Mahler

• Autorzy: Jeffrey Lin Thunder
• Języki publikacji: EN

Kategorie tematyczne

• 11J25: Diophantine inequalities
• 11D75: Diophantine inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 83
• Numer: 1
• Strony: 31-44

Daty

wydano

1998

otrzymano

1997-04-07

Twórcy

autor

Jeffrey Lin Thunder

• Mathematical Sciences Department, Northern Illinois University, DeKalb, Illinois 60115, U.S.A.

Bibliografia

• [B1] M. Bean, Bounds for the number of solutions of the Thue equation, M. thesis, Univ. of Waterloo, 1988.
• [B2] M. Bean, An isoparametric inequality for the area of plane regions defined by binary forms, Compositio Math. 92 (1994), 115-131.
• [D] H. Davenport, On a principle of Lipschitz, J. London Math. Soc. 26 (1951), 179-183.
• [M] K. Mahler, Zur Approximation algebraischer Zahlen III, Acta Math. 62 (1934), 91-166.
• [MS1] J. Mueller and W. M. Schmidt, Trinomial Thue equations and inequalities, J. Reine Angew. Math. 379 (1987), 76-99.
• [MS2] J. Mueller and W. M. Schmidt, The generalized Thue inequality, Compositio Math. 96 (1995), 331-344.
• [S] W. Schmidt, Diophantine Approximation, Lecture Notes in Math. 1467, Springer, New York, 1991.
• [T1] J. L. Thunder, The number of solutions to cubic Thue inequalities, Acta Arith. 66 (1994), 237-243.
• [T2] J. L. Thunder, On Thue inequalities and a conjecture of Schmidt, J. Number Theory 52 (1995), 319-328.