The error term in the truncated Perron formula for the logarithm of an $L$-function
Stephan Ramon Garcia, Jeffrey Lagarias, Ethan Simpson Lee
TL;DR
This paper refines the error term in the truncated Perron formula for the logarithm of an L-function, providing explicit constants to enhance precision in analytic number theory applications.
Contribution
It offers an improved, explicit-error version of the truncated Perron formula for L-functions, advancing the accuracy of related analytical estimates.
Findings
Error term in Perron formula is significantly improved.
Constants in the formula are made explicit.
Enhanced precision benefits number theory analyses.
Abstract
We improve upon the traditional error term in the truncated Perron formula for the logarithm of an -function. All our constants are explicit.
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Taxonomy
TopicsCryptography and Residue Arithmetic · Analytic Number Theory Research · Numerical Methods and Algorithms