Abstract
We state well-known abc-conjecture of Masser-Oesterl´e and its explicit version, popularly known as the explicit abcconjecture, due to Baker. Laishram and Shorey derived from the explicit abc-conjecture that (1.1) implies that c < N1.75. We
give a survey on improvements of this result and its consequences. Finally we prove that c < N1.7 and apply this estimate on an
equation related to a conjecture of Hickerson that a factorial is not a product of factorials non-trivially
Original language | English |
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Pages (from-to) | 143-156 |
Number of pages | 12 |
Journal | Hardy-Ramanujan Journal |
Volume | 41 |
DOIs | |
Publication status | Published - 2018 |