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A p-adic lower bound for a linear form in logarithms.
- Source :
-
International Journal of Number Theory . Mar2023, Vol. 19 Issue 2, p261-291. 31p. - Publication Year :
- 2023
-
Abstract
- Linear forms in logarithms have an important role in the theory of Diophantine equations. In this paper, we prove explicit p -adic lower bounds for linear forms in p -adic logarithms of rational numbers using Padé approximations of the second kind. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOGARITHMS
*RATIONAL numbers
Subjects
Details
- Language :
- English
- ISSN :
- 17930421
- Volume :
- 19
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- International Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 161829413
- Full Text :
- https://doi.org/10.1142/S1793042123500136