A BESSEL DELTA METHOD AND EXPONENTIAL SUMS FOR GL(2)
Abstract In this paper, we introduce a simple Bessel $\delta $-method to the theory of exponential sums for $\textrm{GL}_2$. 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.
2020 ◽
Vol 6
(1)
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pp. 19-54
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2021 ◽
Vol 18
(8)
◽
pp. 3859
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