Parametrized solutions of Diophantine equations

Günter Lettl

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 5, page 465-471
  • ISSN: 0139-9918

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Lettl, Günter. "Parametrized solutions of Diophantine equations." Mathematica Slovaca 54.5 (2004): 465-471. <http://eudml.org/doc/32425>.

@article{Lettl2004,
author = {Lettl, Günter},
journal = {Mathematica Slovaca},
keywords = {Thue equation; Thomas's conjecture; Siegel's theorem; integral points},
language = {eng},
number = {5},
pages = {465-471},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Parametrized solutions of Diophantine equations},
url = {http://eudml.org/doc/32425},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Lettl, Günter
TI - Parametrized solutions of Diophantine equations
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 5
SP - 465
EP - 471
LA - eng
KW - Thue equation; Thomas's conjecture; Siegel's theorem; integral points
UR - http://eudml.org/doc/32425
ER -

References

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  1. HEUBERGER C., On general families of parametrized Thue equations, In: Algebraic Number Theory and Diophantine Analysis, Proceedings of the Internat. Conf. in Graz 1998 (F. Halter-Koch, R. F. Tichy, eds.), Walter de Gruyter, Berlin, 2000, pp. 215-238. (1998) MR1770464
  2. HEUBERGER C., On a conjecture of E. Thomas concerning parametrized Thue equations, Acta Arith. 98 (2001), 375-394. Zbl0973.11043MR1829779
  3. HEUBERGER C., On explicit bounds for the solutions of a class of parametrized Thue equations of arbitrary degree, Monatsh. Math. 132 (2001), 325-339. Zbl1009.11023MR1844070
  4. JACOBSON N., Basic Algebra I, W. H. Freeman and Co, New York, 1985. (1985) Zbl0557.16001MR0780184
  5. MAILLET E., Determination des points entiers des courbes algebriques unicursales a coefficients entiers, Comptes Rendus Paris 168 (1919), 217-220. (1919) 
  6. ROSEN M., Number Theory in Function Fields, Grad. Texts in Math. 210, Springer Verlag, New York, 2002. Zbl1043.11079MR1876657
  7. SIEGEL C. L., Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss., Phys.-Math. Kl. 1 (1929). (1929) 
  8. STICHTENOTH H., Algebraic Function Fields and Codes, Springer Verlag, Berlin, 1993. (1993) Zbl0816.14011MR1251961
  9. THOMAS E., Solutions to certain families of Thue equations, J. Number Theory 43 (1993), 319-369. (1993) Zbl0774.11013MR1212687

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