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Prime number theorems for Rankin-SelbergL-functions over number fields

โœ Scribed by Tim Gillespie; GuangHua Ji


Book ID
107348368
Publisher
SP Science China Press
Year
2011
Tongue
English
Weight
294 KB
Volume
54
Category
Article
ISSN
1674-7283

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The prime number theorem for automorphic
โœ Yan Qu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

Let ฯ€ be irreducible unitary cuspidal representation of GL m (A Q ) with m 2, and L(s, ฯ€ ) the L-function attached to ฯ€ . The prime counting function ฯˆ(x, ฯ€) is studied under the Generalized Riemann Hypothesis for L(s, ฯ€ ). It is proved that ฯˆ(x, ฯ€) x 1/2 (log log x) 2 , except on a set of x of fini