The error term in the truncated Perron formula for the logarithm of an L-function
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1122-1134
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We improve upon the traditional error term in the truncated Perron formula for the logarithm of an L-function. All our constants are explicit.
Mots-clés :
Perron formula, L-function, zeta function, Lambert function
Garcia, Stephan Ramon; Lagarias, Jeffrey; Lee, Ethan Simpson. The error term in the truncated Perron formula for the logarithm of an L-function. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1122-1134. doi: 10.4153/S0008439523000218
@article{10_4153_S0008439523000218,
author = {Garcia, Stephan Ramon and Lagarias, Jeffrey and Lee, Ethan Simpson},
title = {The error term in the truncated {Perron} formula for the logarithm of an {L-function}},
journal = {Canadian mathematical bulletin},
pages = {1122--1134},
year = {2023},
volume = {66},
number = {4},
doi = {10.4153/S0008439523000218},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000218/}
}
TY - JOUR AU - Garcia, Stephan Ramon AU - Lagarias, Jeffrey AU - Lee, Ethan Simpson TI - The error term in the truncated Perron formula for the logarithm of an L-function JO - Canadian mathematical bulletin PY - 2023 SP - 1122 EP - 1134 VL - 66 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000218/ DO - 10.4153/S0008439523000218 ID - 10_4153_S0008439523000218 ER -
%0 Journal Article %A Garcia, Stephan Ramon %A Lagarias, Jeffrey %A Lee, Ethan Simpson %T The error term in the truncated Perron formula for the logarithm of an L-function %J Canadian mathematical bulletin %D 2023 %P 1122-1134 %V 66 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000218/ %R 10.4153/S0008439523000218 %F 10_4153_S0008439523000218
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