• Corpus ID: 246825000

Bounds for automorphic L-functions

@inproceedings{Duke2005BoundsFA,
  title={Bounds for automorphic L-functions},
  author={William Duke and John B. Friedlander and Henryk Iwaniec},
  year={2005}
}
on the line Re s = 2 x, the implied constant depending on s. This classical estimate resisted improvement for many years until Burgess I-B] reduced the exponent from 88 to ~ , many important applications following therefrom. The proof of Burgess appeals to the Riemann Hypothesis for curves established by Weil. Another method to break the convexity barrier was given recently in [F-I] . This method, as well as being more elementary, combines well with the methods developed in the series [D-I2] to… 

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