A consequence of an effective form of the abc-conjecture

Jerzy Browkin

Colloquium Mathematicae (1999)

  • Volume: 82, Issue: 1, page 79-84
  • ISSN: 0010-1354

Abstract

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T. Cochrane and R. E. Dressler [CD] proved that the abc-conjecture implies that, for every > 0, the gap between two consecutive numbers A A 0 . 4 with two exceptions given in Table 2.

How to cite

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Browkin, Jerzy. "A consequence of an effective form of the abc-conjecture." Colloquium Mathematicae 82.1 (1999): 79-84. <http://eudml.org/doc/210752>.

@article{Browkin1999,
abstract = {T. Cochrane and R. E. Dressler [CD] proved that the abc-conjecture implies that, for every > 0, the gap between two consecutive numbers A $A^\{0.4\}$ with two exceptions given in Table 2.},
author = {Browkin, Jerzy},
journal = {Colloquium Mathematicae},
keywords = {abc-extremal examples; gaps; abc-conjecture; effective version; -conjecture},
language = {eng},
number = {1},
pages = {79-84},
title = {A consequence of an effective form of the abc-conjecture},
url = {http://eudml.org/doc/210752},
volume = {82},
year = {1999},
}

TY - JOUR
AU - Browkin, Jerzy
TI - A consequence of an effective form of the abc-conjecture
JO - Colloquium Mathematicae
PY - 1999
VL - 82
IS - 1
SP - 79
EP - 84
AB - T. Cochrane and R. E. Dressler [CD] proved that the abc-conjecture implies that, for every > 0, the gap between two consecutive numbers A $A^{0.4}$ with two exceptions given in Table 2.
LA - eng
KW - abc-extremal examples; gaps; abc-conjecture; effective version; -conjecture
UR - http://eudml.org/doc/210752
ER -

References

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  1. [B] J. Browkin, The abc-conjecture, to appear. Zbl0971.11010
  2. [CD] T. Cochrane and R. E. Dressler, Gaps between integers with the same prime factors, Math. Comp. 68 (1999), 395-401. Zbl0929.11031

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