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Linnik-type problems for automorphic L-functions
- Source :
-
Journal of Number Theory . Mar2010, Vol. 130 Issue 3, p786-802. 17p. - Publication Year :
- 2010
-
Abstract
- Abstract: Let be an integer, and π an irreducible unitary cuspidal representation for , whose attached automorphic L-function is denoted by . Let be the sequence of coefficients in the Dirichlet series expression of in the half-plane . It is proved in this paper that, if π is such that the sequence is real, then there are infinitely many sign changes in the sequence , and the first sign change occurs at some , where is the conductor of π, and the implied constant depends only on m and ε. This generalizes the previous results for . A result of the same quality is also established for , the sequence of coefficients in the Dirichlet series expression of in the half-plane . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 130
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 47736636
- Full Text :
- https://doi.org/10.1016/j.jnt.2009.08.015