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Proceedings of the American Mathematical Society

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A strengthening of Leth's uniqueness condition for sequences


Author: Jerome Malitz
Journal: Proc. Amer. Math. Soc. 98 (1986), 641-642
MSC: Primary 40A99
DOI: https://doi.org/10.1090/S0002-9939-1986-0861767-4
MathSciNet review: 861767
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Abstract: A series $ \sum {a_i}$ of nonnegative reals summing to 1 such that $ {a_i} \leq {\sum _{j > i}}{a_j}$ for eacn $ i$ is uniquely characterized by the equalities of the form $ {\sum _J}{a_i} = {\sum _K}{a_k}$. This characterization is an improvement of one given by Leth.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0861767-4
Article copyright: © Copyright 1986 American Mathematical Society