Summation of Unordered Arrays
- Autores: Shchepin E.V.1
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Edição: Volume 52, Nº 1 (2018)
- Páginas: 35-44
- Seção: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234394
- DOI: https://doi.org/10.1007/s10688-018-0204-9
- ID: 234394
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Resumo
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.
Sobre autores
E. Shchepin
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: scepin@mi.ras.ru
Rússia, Moscow
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