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The error term in the truncated Perron formula for the logarithm of an L-function

Published online by Cambridge University Press:  09 March 2023

Stephan Ramon Garcia
Department of Mathematics and Statistics, Pomona College, 610 North College Avenue, Claremont, CA 91711, USA e-mail:
Jeffrey Lagarias
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, USA e-mail:
Ethan Simpson Lee*
School of Mathematics, University of Bristol, Fry Building, Woodland Road, Bristol BS8 1UG, UK


We improve upon the traditional error term in the truncated Perron formula for the logarithm of an L-function. All our constants are explicit.

© The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society

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S.R.G. was supported by NSF Grant DMS-2054002.


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