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

Voir la notice de l'article provenant de la source Cambridge

DOI

We improve upon the traditional error term in the truncated Perron formula for the logarithm of an L-function. All our constants are explicit.
DOI : 10.4153/S0008439523000218
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

Cité par Sources :