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
Originalsprache | englisch |
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Seiten (von - bis) | 143-156 |
Seitenumfang | 12 |
Fachzeitschrift | Hardy-Ramanujan Journal |
Jahrgang | 41 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2018 |