Asymptotic Expansions of Some Series Involving the Riemann Zeta Function
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Authors
-
University of Colorado, Boulder, Colorado ,US
S. Chowla -
University of Colorado, Boulder, Colorado ,USD. Hawkins
DOI:
https://doi.org/10.18311/jims/1962/16885Abstract
HARDY and Littlewood (stimulated by a conjecture of Ramanujan) proved that the truth of
Σ (-l)nXn/n! Z(2n+1) = 0(X-i+∈)
(∈ > 0 arbitrary) is a necessary and sufficient condition for the truth of the Riemann hypothesis. Here Z(s) is Riemann's Zeta Function.
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Published
1962-09-01
How to Cite
Chowla, S., & Hawkins, D. (1962). Asymptotic Expansions of Some Series Involving the Riemann Zeta Function. The Journal of the Indian Mathematical Society, 26(3-4), 115–124. https://doi.org/10.18311/jims/1962/16885
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Copyright (c) 1962 S. Chowla, D. Hawkins
This work is licensed under a Creative Commons Attribution 4.0 International License.
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