𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A small contribution to the giant problem

✍ Scribed by Peter P. Eggleton; John Faulkner; Robert C. Cannon


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
485 KB
Volume
298
Category
Article
ISSN
0035-8711

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πŸ“œ SIMILAR VOLUMES


A Small Contribution to Catalanβ€²s Equati
✍ A.M.W. Glass; D.B. Meronk; T. Okada; R.P. Steiner πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 222 KB

Using recent results on linear forms in logarithms of algebraic numbers, we prove that any solution of the equation \(x^{p}-y^{q}=\varepsilon\), where \(\varepsilon= \pm 1, p\) and \(q\) are odd primes, and \(p>q\) satisfies \(p<3.42 \cdot 10^{28}\) and \(q<5.6 \cdot 10^{19}\). We also combine our w