# ON THE abc CONJECTURE , II

```@inproceedings{Stewart2001ONTA,
title={ON THE abc CONJECTURE , II},
author={C. L. Stewart and YU KUNRUI},
year={2001}
}```
The conjecture is now known as the abc conjecture. It captures in a succinct way the idea that the additive and the multiplicative structure of the integers should be independent and, accordingly, it has profound consequences (cf.[1], [3], [4], [5], [11], [13]). In 1986, Stewart and Tijdeman [11] obtained an upper bound for z as a function of G. They proved that there exists an effectively computable positive constant c1 such that for all positive integers x, y and z satisfying (1),