The prime number theorem for automorphic
β
Yan Qu
π
Article
π
2007
π
Elsevier Science
π
English
β 159 KB
Let Ο be irreducible unitary cuspidal representation of GL m (A Q ) with m 2, and L(s, Ο ) the L-function attached to Ο . The prime counting function Ο(x, Ο) is studied under the Generalized Riemann Hypothesis for L(s, Ο ). It is proved that Ο(x, Ο) x 1/2 (log log x) 2 , except on a set of x of fini