On the transcendence of sum and product of infinite series
transcendence of some infinite series
Resumen
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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Publicado
2025-12-20
Sección
Advances in Nonlinear Analysis and Applications
Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
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