# On cubic Thue inequalities and a result of Mahler

Acta Arithmetica (1998)

- Volume: 83, Issue: 1, page 31-44
- ISSN: 0065-1036

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top## How to cite

topJeffrey Lin Thunder. "On cubic Thue inequalities and a result of Mahler." Acta Arithmetica 83.1 (1998): 31-44. <http://eudml.org/doc/207104>.

@article{JeffreyLinThunder1998,

author = {Jeffrey Lin Thunder},

journal = {Acta Arithmetica},

keywords = {Thue inequalities; number of integral solutions; error term; cubic form},

language = {eng},

number = {1},

pages = {31-44},

title = {On cubic Thue inequalities and a result of Mahler},

url = {http://eudml.org/doc/207104},

volume = {83},

year = {1998},

}

TY - JOUR

AU - Jeffrey Lin Thunder

TI - On cubic Thue inequalities and a result of Mahler

JO - Acta Arithmetica

PY - 1998

VL - 83

IS - 1

SP - 31

EP - 44

LA - eng

KW - Thue inequalities; number of integral solutions; error term; cubic form

UR - http://eudml.org/doc/207104

ER -

## References

top- [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. Zbl0816.11026
- [D] H. Davenport, On a principle of Lipschitz, J. London Math. Soc. 26 (1951), 179-183. Zbl0042.27504
- [M] K. Mahler, Zur Approximation algebraischer Zahlen III, Acta Math. 62 (1934), 91-166. Zbl60.0159.04
- [MS1] J. Mueller and W. M. Schmidt, Trinomial Thue equations and inequalities, J. Reine Angew. Math. 379 (1987), 76-99. Zbl0613.10019
- [MS2] J. Mueller and W. M. Schmidt, The generalized Thue inequality, Compositio Math. 96 (1995), 331-344. Zbl0840.11014
- [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. Zbl0828.11018

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