Constants for lower bounds for linear forms in the logarithms of algebraic numbers I. The general case
Josef Blass, A. Glass, David Manski, David Meronk, Ray Steiner (1990)
Acta Arithmetica
Similarity:
Josef Blass, A. Glass, David Manski, David Meronk, Ray Steiner (1990)
Acta Arithmetica
Similarity:
Robert Tijdeman (1974-1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Similarity:
G. Wüstholz, A. Baker (1993)
Journal für die reine und angewandte Mathematik
Similarity:
Jan-Hendrik Evertse (1997)
Journal für die reine und angewandte Mathematik
Similarity:
Hans Peter Schlickewei (1990)
Journal für die reine und angewandte Mathematik
Similarity:
Jan-Hendrik Everts (1993)
Journal für die reine und angewandte Mathematik
Similarity:
Alfred J. Van der Poorten (1975-1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Similarity:
N. Tzanakis, B. M. M. de Weger (1992)
Compositio Mathematica
Similarity:
Georges Rhin (2004)
Colloquium Mathematicae
Similarity:
We give lower bounds for the Mahler measure of totally positive algebraic integers. These bounds depend on the degree and the discriminant. Our results improve earlier ones due to A. Schinzel. The proof uses an explicit auxiliary function in two variables.
J.H. Evertse, K. Györy (1989)
Journal für die reine und angewandte Mathematik
Similarity:
Tsz Ho Chan (2006)
Acta Arithmetica
Similarity:
José Luis Montaña, Luis M. Pardo, R. Ramanakoraisina (1992)
Extracta Mathematicae
Similarity:
Shabnam Akhtari, Jeffrey D. Vaaler (2016)
Acta Arithmetica
Similarity:
We prove inequalities that compare the size of an S-regulator with a product of heights of multiplicatively independent S-units. Our upper bound for the S-regulator follows from a general upper bound for the determinant of a real matrix proved by Schinzel. The lower bound for the S-regulator follows from Minkowski's theorem on successive minima and a volume formula proved by Meyer and Pajor. We establish similar upper bounds for the relative regulator of an extension l/k of number fields. ...