Geodesic
The Zeroes of Functions Related to Dirichlet L-Functions
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 53-57

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

Hecke, [3], has shown for x a real Dirichlet character modulo q, the associated Dirichlet L-function L(s, x) has infinitely many zeroes on the line Here, using a method of Polya, [5], we show that both the real and imaginary parts of a function associated to L(s, x) through the functional equation, have infinitely many zeroes on any line 
Weinstein, Lenrd. The Zeroes of Functions Related to Dirichlet L-Functions. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 53-57. doi: 10.4153/CMB-1981-008-2
@article{10_4153_CMB_1981_008_2,
     author = {Weinstein, Lenrd},
     title = {The {Zeroes} of {Functions} {Related} to {Dirichlet} {L-Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {53--57},
     year = {1981},
     volume = {24},
     number = {1},
     doi = {10.4153/CMB-1981-008-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-008-2/}
}
TY  - JOUR
AU  - Weinstein, Lenrd
TI  - The Zeroes of Functions Related to Dirichlet L-Functions
JO  - Canadian mathematical bulletin
PY  - 1981
SP  - 53
EP  - 57
VL  - 24
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-008-2/
DO  - 10.4153/CMB-1981-008-2
ID  - 10_4153_CMB_1981_008_2
ER  - 
%0 Journal Article
%A Weinstein, Lenrd
%T The Zeroes of Functions Related to Dirichlet L-Functions
%J Canadian mathematical bulletin
%D 1981
%P 53-57
%V 24
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-008-2/
%R 10.4153/CMB-1981-008-2
%F 10_4153_CMB_1981_008_2

[1] 1. Berlowitz, B., Extensions of a theorem of Hardy, Acta Arithmetic. 14 (1962), 203-207. Google Scholar

[2] 2. Davenport, H., Multiplicative number theory, Markham Publishing Company, Chicago, 1967. Google Scholar

[3] 3. Hecke, E., Über Dirichlet-reihen mit funktionalgleichung und ihre nullstellen auf der mittelgeraden, Sitzungsberichte der Bayerischen Akademie der Wissenschaften. Mathematisch—Natur wissenschaftliche Abteilung (1962), 73-95. Google Scholar

[4] 4. Lang, S., Algebraic number theory, Addison Wesley Publishing Company, Inc. Reading, Mass., 1970. Google Scholar

[5] 5. Pôlya, G., Über die algebraisch-funktion theoretischen Untersuchungen von J. L. W. V. Jensen, Kgl. Danske Videnskabernes Selskab. 7 (1962), No. 17. Google Scholar

[6] 6. Titchmarsh, E. C., The theory of the Riemann zeta-function, Clarendon Press, Oxford, 1951. Google Scholar

Cité par Sources :