The unit equation and the cluster principle

E. Bombieri; J. Mueller; M. Poe

Acta Arithmetica (1997)

  • Volume: 79, Issue: 4, page 361-389
  • ISSN: 0065-1036

How to cite


E. Bombieri, J. Mueller, and M. Poe. "The unit equation and the cluster principle." Acta Arithmetica 79.4 (1997): 361-389. <>.

author = {E. Bombieri, J. Mueller, M. Poe},
journal = {Acta Arithmetica},
keywords = {unit equation; cluster principle},
language = {eng},
number = {4},
pages = {361-389},
title = {The unit equation and the cluster principle},
url = {},
volume = {79},
year = {1997},

AU - E. Bombieri
AU - J. Mueller
AU - M. Poe
TI - The unit equation and the cluster principle
JO - Acta Arithmetica
PY - 1997
VL - 79
IS - 4
SP - 361
EP - 389
LA - eng
KW - unit equation; cluster principle
UR -
ER -


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  8. [MKS] W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory, 2nd ed., revised, Dover, New York, 1976. 
  9. [P] M. Poe, On distribution of solutions of S-unit equations, J. Number Theory 62 (1997), 221-241. Zbl0879.11015
  10. [R] P. Ribenboim, Catalan's Conjecture, Academic Press, Boston, 1994. Zbl0824.11010
  11. [S] C. L. Siegel, Abschätzung von Einheiten, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. 9 (1969), 71-86. Zbl0186.36703
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