Geodesic
Shifted moments of the Riemann zeta function
Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1556-1586

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

DOI

In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$th moments of the Riemann zeta function on the critical line.
DOI : 10.4153/S0008414X23000548
Mots-clés : Moments of the Riemann zeta function, shifted moments, sharp upper bounds 
Ng, Nathan; Shen, Quanli; Wong, Peng-Jie. Shifted moments of the Riemann zeta function. Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1556-1586. doi: 10.4153/S0008414X23000548
@article{10_4153_S0008414X23000548,
     author = {Ng, Nathan and Shen, Quanli and Wong, Peng-Jie},
     title = {Shifted moments of the {Riemann} zeta function},
     journal = {Canadian journal of mathematics},
     pages = {1556--1586},
     year = {2024},
     volume = {76},
     number = {5},
     doi = {10.4153/S0008414X23000548},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000548/}
}
TY  - JOUR
AU  - Ng, Nathan
AU  - Shen, Quanli
AU  - Wong, Peng-Jie
TI  - Shifted moments of the Riemann zeta function
JO  - Canadian journal of mathematics
PY  - 2024
SP  - 1556
EP  - 1586
VL  - 76
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000548/
DO  - 10.4153/S0008414X23000548
ID  - 10_4153_S0008414X23000548
ER  - 
%0 Journal Article
%A Ng, Nathan
%A Shen, Quanli
%A Wong, Peng-Jie
%T Shifted moments of the Riemann zeta function
%J Canadian journal of mathematics
%D 2024
%P 1556-1586
%V 76
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000548/
%R 10.4153/S0008414X23000548
%F 10_4153_S0008414X23000548

Cité par Sources :