a new subconvex bound for gl 3 l functions in the t aspect

Mathematics - Number Theory FOS: Mathematics Number Theory (math.NT) 0101 mathematics 11F66, 11M41 01 natural sciences
DOI: 10.48550/arxiv.1903.09638 Publication Date: 2020-10-30
ABSTRACT
We revisit Munshi’s proof of the [Formula: see text]-aspect subconvex bound for [Formula: see text] [Formula: see text]-functions, and we are able to remove the “conductor lowering” trick. This simplification along with a more careful stationary phase analysis allows us to improve Munshi’s bound to [Formula: see text]
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