论文标题

模块化形式的主要字段中的指数总和

Exponential sums in prime fields for modular forms

论文作者

Bajpai, Jitendra, Bhakta, Subham, Garcia, Victor C.

论文摘要

本文的主要目的是研究与具有固定主要因素的数字支撑的模块化形式的傅立叶系数相关的指数总和。这是通过建立对Shparlinski的改进来实现的,以限制有限场上某些复发序列的指数总和。

The main objective of this article is to study the exponential sums associated to Fourier coefficients of modular forms supported at numbers having a fixed set of prime factors. This is achieved by establishing an improvement on Shparlinski's bound for exponential sums attached to certain recurrence sequences over finite fields.

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