Thue equations with few coefficients

Author:
Wolfgang M. Schmidt

Journal:
Trans. Amer. Math. Soc. **303** (1987), 241-255

MSC:
Primary 11D41; Secondary 11D75

MathSciNet review:
896020

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Abstract: Let be a binary form of degree with integer coefficients, and irreducible over the rationals. Suppose that only of the coefficients of are nonzero. Then the Thue equations has solutions. More generally, the inequality has solutions.

**[1]**E. Bombieri and W. M. Schmidt,*On Thue's equation*, Invent. Math. (to appear).**[2]**K. Mahler,*An inequality for the discriminant of a polynomial*, Michigan Math. J.**11**(1964), 257–262. MR**0166188****[3]**J. Mueller,*Counting solutions of*, Quart. J. Math. Oxford (to appear).**[4]**J. Mueller and W. M. Schmidt,*The number of solutions of trinomial Thue equations and inequalities*, Crelle's J. (to appear).**[5]**-,*Thue equations and a conjecture of Siegel*, Acta Math. (submitted).

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DOI:
https://doi.org/10.1090/S0002-9947-1987-0896020-1

Article copyright:
© Copyright 1987
American Mathematical Society