Binomial Thue's equation over function fields

Julia Mueller

Compositio Mathematica (1990)

  • Volume: 73, Issue: 2, page 189-197
  • ISSN: 0010-437X

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Mueller, Julia. "Binomial Thue's equation over function fields." Compositio Mathematica 73.2 (1990): 189-197. <http://eudml.org/doc/90002>.

@article{Mueller1990,
author = {Mueller, Julia},
journal = {Compositio Mathematica},
keywords = {higher degree diophantine equation; binary form of higher degree; function field; group of r-th powers; binomial Thue equation},
language = {eng},
number = {2},
pages = {189-197},
publisher = {Kluwer Academic Publishers},
title = {Binomial Thue's equation over function fields},
url = {http://eudml.org/doc/90002},
volume = {73},
year = {1990},
}

TY - JOUR
AU - Mueller, Julia
TI - Binomial Thue's equation over function fields
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 2
SP - 189
EP - 197
LA - eng
KW - higher degree diophantine equation; binary form of higher degree; function field; group of r-th powers; binomial Thue equation
UR - http://eudml.org/doc/90002
ER -

References

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  1. [1] E. Bombieri and W.M. Schmidt, On Thue's equation. Invent. Math.88, 69-81 (1987). Zbl0614.10018MR877007
  2. [2] W.D. Brownawell and D.W. MasserVanishing sums in function fields. Math. Proc. Camb. Phil. Soc.100, 427-434 (1986). Zbl0612.10010MR857720
  3. [3] Y. Domar, On the diophantine equation |Axn - Byn| = 1, n ≽ 5. Math. Scand.2, 29-32 (1954). Zbl0056.03602
  4. [4] J-H. Evertse, Upper bounds for the number of solutions of dophantine equations. Math. Centrum, Amst., 1-127(1983). Zbl0517.10016MR726562
  5. [5] J-H. Evertse, On the equation axn - byn = c. Compositio Math. 47, 289-315 (1982). Zbl0498.10014MR681611
  6. [6] J-H. Evertse, K. Györy, C.L. Stewart and R. Tijdeman, On S-unit equations in two unknowns. Invent. Math.92, 461-477 (1988). Zbl0662.10012MR939471
  7. [7] S. Hyyrö, Über die Gleichung axn - byn = c und das Catalansche Problem. Ann. Acad. Sci. Fenn., Ser. AI355, 1-50 (1964). Zbl0137.25705MR205925

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