Article
Distribution of Zeros of L-Functions on the Critical Line
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Abstract
In this paper, we prove under the Riemann hypothesis that the zeros of L-functions from the Selberg class are uniformly distributed on the critical line when the conductor is sufficiently large and the degree of these L-functions grows with the analytic conductor.
Keywords
L-functions, Selberg class, Weil explicit formula, Riemann hypothesis, Distribu tion of zeros.
Citation
Mazhouda, K. & Omar, S. (2013). Distribution of zeros of l-functions on the critical line. Uniform Distribution Theory, 8(2), 39–47.
K. Mazhouda and S. Omar, “Distribution of zeros of l-functions on the critical line,” Uniform Distribution Theory, vol. 8, no. 2, pp. 39–47, 2013.
Mazhouda K, Omar S. Distribution of zeros of l-functions on the critical line. Uniform Distribution Theory. 2013;8(2):39–47.
Mazhouda, K. and Omar, S. (2013), ‘Distribution of zeros of l-functions on the critical line’, Uniform Distribution Theory, 8(2), pp. 39–47.
Mazhouda, Kamel, and Sami Omar. “Distribution of Zeros of L-functions on the Critical Line.” Uniform Distribution Theory, vol. 8, no. 2, 2013, pp. 39–47.
Mazhouda, Kamel, and Sami Omar. “Distribution of Zeros of L-functions on the Critical Line.” Uniform Distribution Theory 8, no. 2 (2013): 39–47.
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Published by: Engineering Journals
