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A Class of Dirichlet Series Integrals.

Authors :
Borwein, Jonathan M.
Source :
American Mathematical Monthly. Jan2007, Vol. 114 Issue 1, p70-76. 7p.
Publication Year :
2007

Abstract

The article presents a discussion about an analysis to a solution regarding a broad class of Dirichlet series and show the results in action in a variety of ways. It tells of an acquired integral evaluation that transpires to be a case of a rather pretty class of evaluations and worth creating explicits. It tells of a formal Dirichlet series, with certain real coefficients for other largely standard notations. It offers a solution for alternating zeta-functions, and explains that such functions can be solved by contour integration and consulting a computer algebra system.

Details

Language :
English
ISSN :
00029890
Volume :
114
Issue :
1
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
23794720
Full Text :
https://doi.org/10.1080/00029890.2007.11920394