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Bounds for automorphic L–functions. II

✍ Scribed by W. Duke; J. Friedlander; H. Iwaniec


Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
120 KB
Volume
140
Category
Article
ISSN
0020-9910

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The prime number theorem for automorphic
✍ Yan Qu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 159 KB

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