On the irrationality measure of certain numbers
Alexandr Polyanskii
TL;DR
This paper provides upper bounds for the irrationality and non-quadraticity measures of specific algebraic-logarithmic numbers, advancing understanding of their approximation properties.
Contribution
It introduces new upper estimates for the irrationality and non-quadraticity measures of a class of algebraic-logarithmic numbers.
Findings
Upper bounds for irrationality measures of the numbers $eta_k$.
Upper bounds for non-quadraticity measures of the numbers $eta_k$.
Enhanced understanding of approximation properties of these algebraic-logarithmic numbers.
Abstract
The paper presents upper estimates for the irrationality measure and the non-quadraticity measure for the numbers
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Analytic Number Theory Research