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On the subconvexity problem for L-functions on GL(3)

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arxiv 1504.02667 v1 pith:CZMWBJES submitted 2015-04-10 math.NT

Valentin Blomer , Jack Buttcane This is my paper · ORCID
classification math.NT
keywords awaysubconvexityassociatedboundchambercuspformforms
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Let f be a cusp form for the group SL(3, Z) with Langlands parameter mu and associated L-function L(s, f). If mu is in generic position, i.e. away from the Weyl chamber walls and away from the self-dual forms, we prove the subconvexity bound L(1/2, f) << || mu || ^{3/4 - 1/120000}.

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  1. Squarefree numbers in short intervals: explicit and formalized

    math.NT 2026-08 conditional novelty 6.0 of 10

    For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.

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