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ArticleOriginal scientific text

Title

On cubic Thue inequalities and a result of Mahler

Authors 1

Affiliations

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

Bibliography

  1. [B1] M. Bean, Bounds for the number of solutions of the Thue equation, M. thesis, Univ. of Waterloo, 1988.
  2. [B2] M. Bean, An isoparametric inequality for the area of plane regions defined by binary forms, Compositio Math. 92 (1994), 115-131.
  3. [D] H. Davenport, On a principle of Lipschitz, J. London Math. Soc. 26 (1951), 179-183.
  4. [M] K. Mahler, Zur Approximation algebraischer Zahlen III, Acta Math. 62 (1934), 91-166.
  5. [MS1] J. Mueller and W. M. Schmidt, Trinomial Thue equations and inequalities, J. Reine Angew. Math. 379 (1987), 76-99.
  6. [MS2] J. Mueller and W. M. Schmidt, The generalized Thue inequality, Compositio Math. 96 (1995), 331-344.
  7. [S] W. Schmidt, Diophantine Approximation, Lecture Notes in Math. 1467, Springer, New York, 1991.
  8. [T1] J. L. Thunder, The number of solutions to cubic Thue inequalities, Acta Arith. 66 (1994), 237-243.
  9. [T2] J. L. Thunder, On Thue inequalities and a conjecture of Schmidt, J. Number Theory 52 (1995), 319-328.
Acta Arithmetica
1998/83/1
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Pages:
31-44
Main language of publication
English
Received
1997-04-07
Published
1998
Exact and natural sciences