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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A one-sided summatory function


Author: E. Y. State
Journal: Proc. Amer. Math. Soc. 60 (1976), 134-138
MSC: Primary 30A86
MathSciNet review: 0422629
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Abstract | References | Similar Articles | Additional Information

Abstract: A method is given for summing one-sided series by employing the psi function. $ \sum\nolimits_{n = 1}^\infty {{n^{ - k}}\Psi (n)} $ is evaluated in closed form when $ k \geqslant 2$ is an integer.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0422629-3
PII: S 0002-9939(1976)0422629-3
Keywords: One-sided series, zeta function, meromorphic function
Article copyright: © Copyright 1976 American Mathematical Society