Subconvexity bounds in depth-aspect for automorphic L-functions on GL(2)

Details Subconvexity bounds in depth-aspect for automorphic L-functions on GL(2) Subconvexity bounds in depth-aspect for automorphic L-functions on GL(2)

2009-04-07

arxiv.org/abs/0904.1028v1

Mathematics

Number Theory

49 pages

Scientific paper

From a spectral identity we obtain asymptotics with error term for the second
integral moments of families of automorphic L-functions for GL(2) over an
arbitrary number field according to twists by idele characters with arbitrary
ramification at a fixed finite place. The power-saving in the error term breaks
convexity at this non-archimedean place.

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