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Explicit Exponential Sum Estimates and Approximate Functional Equations for the Zeta Function

Dhiman, Natasha et al.
arXiv (All) · Papers
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number-theory
We show an explicit version of the Van der Corput truncated Poisson summation formula (B-process). By using refined explicit exponential sum estimates, this improves the error term of previous explicit results by Patel and Yang (2024) and Arias de Reyna (2024). As an application, we obtain fine expl
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