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Le critère de Li et l'hypothèse de Riemann pour la classe de Selberg
- Source :
-
Journal of Number Theory . Jul2007, Vol. 125 Issue 1, p50-58. 9p. - Publication Year :
- 2007
-
Abstract
- Abstract: We generalise Li''s criterion, already known for the Riemann zeta function, to a large class of Dirichlet series. We give first an explicit formula for the coefficients , for all positive integers n and ρ runs over all the non-trivial zeros of a function F in this class. To do so, we use the Weil Explicit Formula. [Copyright &y& Elsevier]
- Subjects :
- *PROBABILITY theory
*ALGEBRA
*NUMBER theory
*ARITHMETIC functions
Subjects
Details
- Language :
- French
- ISSN :
- 0022314X
- Volume :
- 125
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 25075447
- Full Text :
- https://doi.org/10.1016/j.jnt.2006.09.013