Citation
J. Lin et T. Zhan, GENERALIZATION OF BOMBIERI THEOREM AND ITS APPLICATIONS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 38(12), 1995, pp. 1432-1443
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
ISSN journal
10016511
Volume
38
Issue
12
Year of publication
1995
Pages
1432 - 1443
Database
ISI
SICI code
1001-6511(1995)38:12<1432:GOBTAI>2.0.ZU;2-L
Abstract
By using the so-called Hooley-Huxley Contour and zero density estimate
s for Dirichlet L-function, Bombieri's theorem is established for a cl
ass of arithmetic functions whose generating functions satisfy certain
analytic conditions. As applications of our theorem the mean value es
timates of L-functions and the distribution of integers representable
as suns of two squares are discussed.