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arXiv · 2502.15753

Generalization of Jamet's test for convergence of number series and its new modifications

Artem M. Ponomarenko
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Abstract

In this article, we present new generalizations of logarithmic convergence tests for number series, from which we will derive various new generalizations of the Jamet's convergence test. Further, similarly, on the basis of the generalizations of the Schlomilch's test we found, we will obtain modified tests of the convergence of number series.

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Artem M. Ponomarenko. 2025-02-10. Generalization of Jamet's test for convergence of number series and its new modifications. https://arxiv.org/abs/2502.15753

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