# A consequence of an effective form of the abc-conjecture

Colloquium Mathematicae (1999)

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

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topBrowkin, 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

top- [B] J. Browkin, The abc-conjecture, to appear. Zbl0971.11010
- [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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