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A multiple Abel summation formula and asymptotic evaluations for multiple sums.

Authors :
Bănescu, Magdalena
Popa, Dumitru
Source :
International Journal of Number Theory. May2018, Vol. 14 Issue 4, p1197-1210. 14p.
Publication Year :
2018

Abstract

In this paper, we prove a multiple Abel summation formula and give some applications of this formula. We use these evaluations in tandem with some recent results to obtain various asymptotic evaluations for multiple sums. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17930421
Volume :
14
Issue :
4
Database :
Academic Search Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
129548048
Full Text :
https://doi.org/10.1142/S1793042118500732