Summation of Unordered Arrays
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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.
Key wordsgreedy sum unordered sum theorem on multiplications of sums generalized Dirichlet series asymptotic Dirichlet series Riesz means generic zeta-function
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