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Exponential sums over cubes of primes in short intervals and its applications
Mathematische Zeitschrift ( IF 1.0 ) Pub Date : 2021-01-09 , DOI: 10.1007/s00209-020-02649-8
Taiyu Li , Yanjun Yao

In this paper, we treat the estimate on exponential sums over cubes of primes in short intervals, and improve a previous bound of Kumchev (in: Number Theory: Arithmetic in Shangri-La (Proc. China-Japan Seminar Number Theory), pp. 116–131, World Scientific, Singapore, 2013). Moreover, we present some applications to the cubic Waring–Goldbach problem.



中文翻译:

短间隔素数立方上的指数和及其应用

在本文中,我们处理了短间隔内素数立方上的指数总和的估计,并改善了Kumchev的先前界限(见:《数论:香格里拉的算术》(中日研讨会数字理论专着),第pp。 116–131,世界科学,新加坡,2013年)。此外,我们提出了三次Waring-Goldbach问题的一些应用。

更新日期:2021-01-10
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