Geodesic
A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions
Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 119-122

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

We give a simple proof and strengthening of a uniqueness theorem for functions in the extended Selberg class.
DOI : 10.4153/CMB-2015-045-1
Mots-clés : 30B50, 11M41, meromorphic function, Dirichlet series, L-function, zero, order, uniqueness 
Hu, Pei-Chu; Li, Bao Qin. A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions. Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 119-122. doi: 10.4153/CMB-2015-045-1
@article{10_4153_CMB_2015_045_1,
     author = {Hu, Pei-Chu and Li, Bao Qin},
     title = {A {Simple} {Proof} and {Strengthening} of a {Uniqueness} {Theorem} for {L-functions}},
     journal = {Canadian mathematical bulletin},
     pages = {119--122},
     year = {2016},
     volume = {59},
     number = {1},
     doi = {10.4153/CMB-2015-045-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-045-1/}
}
TY  - JOUR
AU  - Hu, Pei-Chu
AU  - Li, Bao Qin
TI  - A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions
JO  - Canadian mathematical bulletin
PY  - 2016
SP  - 119
EP  - 122
VL  - 59
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-045-1/
DO  - 10.4153/CMB-2015-045-1
ID  - 10_4153_CMB_2015_045_1
ER  - 
%0 Journal Article
%A Hu, Pei-Chu
%A Li, Bao Qin
%T A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions
%J Canadian mathematical bulletin
%D 2016
%P 119-122
%V 59
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-045-1/
%R 10.4153/CMB-2015-045-1
%F 10_4153_CMB_2015_045_1

[1] [1] Cardwell, M. and Ye, Z.. A uniqueness theorem ofL-functions with rational moving targets. J. Math Anal. 5(2014), no. 1, 16–19. Google Scholar

[2] [2] Ki, H., A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation. Adv. Math. 231(2012), no. 5, 2484–2490. http://dx.doi.Org/10.1016/j.aim.2012.07.027 Google Scholar

[3] [3] Li, B. Q., A uniqueness theorem for Dirichlet series satisfying a Riemann type functional equation. Adv. Math. 226(2011), no. 5, 4198–4211. http://dx.doi.Org/1 0.101 6/j.aim.2O10.12.001 Google Scholar

[4] [4] Nevanlinna, R., Analytic functions. Die Grundlehren der mathematischen Wissenschaften, 162, Springer-Verlag, 1970. Google Scholar

[5] [5] Selberg, A., Old and new conjectures and results about a class of Dirichlet series. In: Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), Univ. Salerno, Salerno, 1992, pp. 367–385. Google Scholar

[6] [6] Steuding, J., Value distribution of L-functions. Lecture Notes in Mathematics, 1877, Springer, Berlin, 2007. Google Scholar

Cité par Sources :