AN EXTENSION OF THE BOURGAIN-SARNAK-ZIEGLER THEOREM WITH MODULAR APPLICATIONS

被引：6

作者：

Cafferata, M. ^{[1
]}

Perelli, A. ^{[2
]}

Zaccagnini, A. ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci 53-A, I-43124 Parma, Italy

[2] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2020年 / 71卷 / 01期

关键词：

COEFFICIENTS; SUMS; RESONANCE; TWISTS;

D O I：

10.1093/qmathj/haz048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first prove an extension of the Bourgain-Sarnak-Ziegler theorem, relaxing some conditions and giving quantitative estimates. Then we apply our extension to bound certain exponential sums, where the coefficients come from modular forms and the exponential involves polynomial sequences of any degree.

引用

页码：359 / 377

页数：19

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