Subconvex bounds for compact toric integrals

2016/04/07 by Han Wu, Wu, Han · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1604.01902

openalex publication_date 2016/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize our method for subconvex bounds for GL₂ × GL₁ to the setting of the Waldspurger's formula for compact torical integrals. We address the two major difficulties: one is the lack of split places with small norm, the other is the test vector problem. The final bound is valid with arbitrary high probability and is better than the known bounds for a non-empty interval.

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