Geodesic
Strong Multiplicity One for the Selberg Class
Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 468-474

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

We investigate the problem of determining elements in the Selberg class by means of their Dirichlet series coefficients at primes.
DOI : 10.4153/CMB-2004-046-0
Mots-clés : 11M41, 11M26, 11M06 
Soundararajan, K. Strong Multiplicity One for the Selberg Class. Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 468-474. doi: 10.4153/CMB-2004-046-0
@article{10_4153_CMB_2004_046_0,
     author = {Soundararajan, K.},
     title = {Strong {Multiplicity} {One} for the {Selberg} {Class}},
     journal = {Canadian mathematical bulletin},
     pages = {468--474},
     year = {2004},
     volume = {47},
     number = {3},
     doi = {10.4153/CMB-2004-046-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-046-0/}
}
TY  - JOUR
AU  - Soundararajan, K.
TI  - Strong Multiplicity One for the Selberg Class
JO  - Canadian mathematical bulletin
PY  - 2004
SP  - 468
EP  - 474
VL  - 47
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-046-0/
DO  - 10.4153/CMB-2004-046-0
ID  - 10_4153_CMB_2004_046_0
ER  - 
%0 Journal Article
%A Soundararajan, K.
%T Strong Multiplicity One for the Selberg Class
%J Canadian mathematical bulletin
%D 2004
%P 468-474
%V 47
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-046-0/
%R 10.4153/CMB-2004-046-0
%F 10_4153_CMB_2004_046_0

[1] [1] Ingham, A. E., A note on Fourier transforms. J. LondonMath. Soc. 9 (1934), 29–32. Google Scholar

[2] [2] Kaczorowski, J. and Perelli, A., Strong multiplicity one for the Selberg class. Comptes Rendus Acad. Sci. Paris Ser. I Math. 332 (2001), 963–968. Google Scholar

[3] [3] Kaczorowski, J. and Perelli, A., On the structure of the Selberg class. I. 0 ≤ d ≤ 1. Acta Math. 182 (1999), 207–241. Google Scholar

[4] [4] Montgomery, H. L. and Vaughan, R. C., Hilbert's inequality. J. LondonMath. Soc. (2) 8 (1974), 73–82. Google Scholar

[5] [5] Murty, M. R. and Murty, V. K., Strong multiplicity one for the Selberg class. Comptes Rendus Acad. Sci. Paris Ser. I Math. 319 (1994), 315–320. Google Scholar

[6] [6] Rudnick, Z. and Sarnak, P., Zeros of principal L-functions and random matrix theory. Duke Math. J. 81 (1996), 269–322. Google Scholar

[7] [7] Selberg, A., Old and new conjectures about a class of Dirichlet series. Collected papers II, Springer, Berlin, 1991, 47–63. Google Scholar

[8] [8] Soundararajan, K., Degree 1 elements of the Selberg class, to appear. Google Scholar

Cité par Sources :