TL;DR
This paper employs the GL(2) delta method to establish the Burgess bound, providing a new approach to a classical problem in analytic number theory.
Contribution
It introduces a novel application of the GL(2) delta method to prove the Burgess bound, advancing the techniques used in bounding character sums.
Findings
Successfully established the Burgess bound using the delta method
Demonstrated the effectiveness of GL(2) techniques in analytic number theory
Provided a new proof approach for classical bounds
Abstract
We use GL(2) delta method to establish the Burgess bound.
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