On the transcendence of sum and product of infinite series
transcendence of some infinite series
DOI:
https://doi.org/10.5269/bspm.79908Abstract
In the present paper and as an application of Roth’s theorem concerning
the rational approximation of algebraic numbers, we give a sufficient condition
that will assure us that a sum, product and quotient of some series of positive
rational terms are transcendental numbers. At the end of this article, we establish
an approximation measure of these numbers
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Published
2025-12-20
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Conf. Issue: Advances in Nonlinear Analysis and Applications
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