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Strong Multiplicity One for the Selberg Class

Published online by Cambridge University Press:  20 November 2018

K. Soundararajan
K. Soundararajan*
Affiliation:
Department of Mathematics University of Michigan Ann Arbor, Michigan 48109 USA, e-mail: ksound@umich.edu
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Abstract

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We investigate the problem of determining elements in the Selberg class by means of their Dirichlet series coefficients at primes.

Keywords

11M4111M2611M06
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 3 , 01 September 2004 , pp. 468 - 474
Copyright
Copyright © Canadian Mathematical Society 2004

References

[1] Ingham, A. E., A note on Fourier transforms. J. LondonMath. Soc. 9 (1934), 29–32.Google Scholar
[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] 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] Montgomery, H. L. and Vaughan, R. C., Hilbert's inequality. J. LondonMath. Soc. (2) 8 (1974), 73–82.Google Scholar
[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] Rudnick, Z. and Sarnak, P., Zeros of principal L-functions and random matrix theory. Duke Math. J. 81 (1996), 269–322.Google Scholar
[7] Selberg, A., Old and new conjectures about a class of Dirichlet series. Collected papers II, Springer, Berlin, 1991, 47–63.Google Scholar
[8] Soundararajan, K., Degree 1 elements of the Selberg class, to appear.Google Scholar