摘要
By using the so-called Hooley-Huxley Contour and zero density estimates for Dirichlet L-function, Bombieri’s theorem is established for a class of arithmetic functions whose generating functions satisfy certain analytic conditions. As applications of our theorem, the mean value estimates of L-functions and the distribution of integers representable as sums of two squares are discussed.
By using the so-called Hooley-Huxley Contour and zero density estimates for Dirichlet L-function, Bombieri's theorem is established for a class of arithmetic functions whose generating functions satisfy certain analytic conditions. As applications of our theorem, the mean value estimates of L-functions and the distribution of integers representable as sums of two squares are discussed.
基金
the National Natural Science Foundation of China
