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- W4293491397 abstract "Kummer's test from 1835 states that the positive series $sum_{n=1}^infty a_n$ is convergent if and only if there is a sequence ${ B_n}_1^infty$ of positive numbers such that $B_ncdot frac{a_n }{a_{n+1}} -B_{n+1}geq 1 ,$ for all sufficiently large $n$. We present an exact analysis and a short and unified proof of Kummer's test. The test has been applied to differential equations and studied in mathematical philosophy." @default.
- W4293491397 created "2022-08-29" @default.
- W4293491397 creator A5082896715 @default.
- W4293491397 date "2018-02-27" @default.
- W4293491397 modified "2023-09-27" @default.
- W4293491397 title "A Short and Unified Proof of Kummer's Test" @default.
- W4293491397 doi "https://doi.org/10.48550/arxiv.1802.09858" @default.
- W4293491397 hasPublicationYear "2018" @default.
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