# The number of solutions to cubic Thue inequalities

Acta Arithmetica (1994)

- Volume: 66, Issue: 3, page 237-243
- ISSN: 0065-1036

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topJeffrey Lin Thunder. "The number of solutions to cubic Thue inequalities." Acta Arithmetica 66.3 (1994): 237-243. <http://eudml.org/doc/206603>.

@article{JeffreyLinThunder1994,

author = {Jeffrey Lin Thunder},

journal = {Acta Arithmetica},

keywords = {Thue equations; number of solutions; Mahler's asymptotic formula; Schmidt's conjecture; cubic forms},

language = {eng},

number = {3},

pages = {237-243},

title = {The number of solutions to cubic Thue inequalities},

url = {http://eudml.org/doc/206603},

volume = {66},

year = {1994},

}

TY - JOUR

AU - Jeffrey Lin Thunder

TI - The number of solutions to cubic Thue inequalities

JO - Acta Arithmetica

PY - 1994

VL - 66

IS - 3

SP - 237

EP - 243

LA - eng

KW - Thue equations; number of solutions; Mahler's asymptotic formula; Schmidt's conjecture; cubic forms

UR - http://eudml.org/doc/206603

ER -

## References

top- [B1] M. Bean, Areas of plane regions defined by binary forms, Ph.D. thesis, University of Waterloo, 1992.
- [B2] M. Bean, Bounds for the number of solutions of the Thue equation, M. thesis, University of Waterloo, 1988.
- [E] J. H. Evertse, Estimates for reduced binary forms, J. Reine Angew. Math. 434 (1993), 159-190. Zbl0763.11012
- [EG] J. H. Evertse and K. Győry, Effective finiteness results for binary forms, Compositio Math. 79 (1991), 169-204. Zbl0746.11020
- [M1] K. Mahler, Zur Approximation algebraischer Zahlen III, Acta Math. 62 (1934), 91-166. Zbl60.0159.04
- [M2] K. Mahler, An inequality for the discriminant of a polynomial, Michigan Math. J. 11 (1969), 257-262.
- [S] W. Schmidt, Diophantine Approximations and Diophantine Equations, Lecture Notes in Math. 1467, Springer, New York, 1991. Zbl0754.11020
- [T] A. Thue, Über Annäherungswerte algebraischer Zahlen, J. Reine Angew. Math. 135 (1909), 284-305.

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