Accurate estimation of sums over zeros of the Riemann zeta-function

نویسندگان

چکیده

We consider sums of the form $\sum \phi(\gamma)$, where $\phi$ is a given function, and $\gamma$ ranges over ordinates nontrivial zeros Riemann zeta-function in interval. show how numerical estimation such can be accelerated by simple device, give examples involving both convergent divergent infinite sums.

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 2021

ISSN: ['1088-6842', '0025-5718']

DOI: https://doi.org/10.1090/mcom/3652