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
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Displaying similar documents to “Lower bounds for approximations.”
Constants for lower bounds for linear forms in the logarithms of algebraic numbers I. The general case
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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.
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Acta Arithmetica
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Acta Arithmetica
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Sharp bounds for the number of solutions to simultaneous Pellian equations
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Acta Arithmetica
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Recent results and open problems in analytic computational complexity
J. Traub (1978)
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An improper Cramer-Rao lower bound
L. Gajek (1987)
Applicationes Mathematicae
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Compositio Mathematica
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Lower order terms of the second moment of S(t)
Tsz Ho Chan (2006)
Acta Arithmetica
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Lower Bounds on the Directed Sweepwidth of Planar Shapes
Markov, Minko, Haralampiev, Vladislav, Georgiev, Georgi (2015)
Serdica Journal of Computing
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We investigate a recently introduced width measure of planar shapes called sweepwidth and prove a lower bound theorem on the sweepwidth.