Email this article Summation of Unordered Arrays
- Authors: Shchepin E.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 52, No 1 (2018)
- Pages: 35-44
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234394
- DOI: https://doi.org/10.1007/s10688-018-0204-9
- ID: 234394
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Abstract
An approach to the summation of unordered number and matrix arrays based on ordering them by absolute value (greedy summation) is proposed. Theorems on products of greedy sums are proved. A relationship between the theory of greedy summation and the theory of generalized Dirichlet series is revealed. The notion of asymptotic Dirichlet series is considered.
About the authors
E. V. Shchepin
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: scepin@mi.ras.ru
Russian Federation, Moscow
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