A Bessel delta-method and exponential sums for GL(2)

2019/06/13 by Keshav Aggarwal, Aggarwal, Keshav, Roman Holowinsky +5 · 1 citation
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1906.05485

Abstract

In this paper, we introduce a simple Bessel δ-method to the theory of exponential sums for \rm GL₂. Some results of Jutila on exponential sums are generalized in a less technical manner to holomorphic newforms of arbitrary level and nebentypus. In particular, this gives a short proof for the Weyl-type subconvex bound in the t-aspect for the associated L-functions.

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