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

Delia Letang

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arXiv · 0904.1028

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

Delia Letang

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Abstract

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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Delia Letang. 2009-04-07. Subconvexity bounds in depth-aspect for automorphic L-functions on GL(2). https://arxiv.org/abs/0904.1028

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