Geodesic
Shifted moments of quadratic Dirichlet L-functions
Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1116-1143

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

DOI

We establish sharp upper bounds for shifted moments of quadratic Dirichlet L-function under the generalized Riemann hypothesis. Our result is then used to prove bounds for moments of quadratic Dirichlet character sums.
DOI : 10.4153/S0008439525000335
Mots-clés : Quadratic Dirichlet characters, quadratic Dirichlet L-functions, shifted moments 
Gao, Peng; Zhao, Liangyi. Shifted moments of quadratic Dirichlet L-functions. Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1116-1143. doi: 10.4153/S0008439525000335
@article{10_4153_S0008439525000335,
     author = {Gao, Peng and Zhao, Liangyi},
     title = {Shifted moments of quadratic {Dirichlet} {L-functions}},
     journal = {Canadian mathematical bulletin},
     pages = {1116--1143},
     year = {2025},
     volume = {68},
     number = {4},
     doi = {10.4153/S0008439525000335},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000335/}
}
TY  - JOUR
AU  - Gao, Peng
AU  - Zhao, Liangyi
TI  - Shifted moments of quadratic Dirichlet L-functions
JO  - Canadian mathematical bulletin
PY  - 2025
SP  - 1116
EP  - 1143
VL  - 68
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000335/
DO  - 10.4153/S0008439525000335
ID  - 10_4153_S0008439525000335
ER  - 
%0 Journal Article
%A Gao, Peng
%A Zhao, Liangyi
%T Shifted moments of quadratic Dirichlet L-functions
%J Canadian mathematical bulletin
%D 2025
%P 1116-1143
%V 68
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000335/
%R 10.4153/S0008439525000335
%F 10_4153_S0008439525000335

Cité par Sources :