On cubic Thue inequalities and a result of Mahler

Jeffrey Lin Thunder

Acta Arithmetica (1998)

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

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Jeffrey 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

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

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