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On the Convergence of a certain Multiple Series
Published online by Cambridge University Press: 24 October 2008
Extract
The theorem given by Professor Mordell in the preceding paper is capable of a slight generalisation. I first prove that the series
where α, β, γ, … are positive, converges only when κ > Σ (a′/α), the summation referring to those exponents a′ of a, b, c, … for which a ≥ 0; or, if there are no such exponents, the series converges only when κ > a/α, k > b/β, …
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 25 , Issue 4 , October 1929 , pp. 410 - 411
- Copyright
- Copyright © Cambridge Philosophical Society 1929
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