A Criterion On Catalan′s Equation
✍ Scribed by M. Mignotte
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 117 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
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
## Abstract Lindemann’s empirical melting criterion is applied using data of the solid chemical elements. The respective expression which depends on the melting temperature, the molar mass and the molar volume correlates fairly well with the Debye temperatures. However, it seems incapable to predic