Exponential sums over cubes of primes in short intervals and its applications

Exponential sums over cubes of primes in short intervals and its applications
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DOI:
10.1007/s00209-020-02649-8
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发表时间:
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期刊:
Mathematische Zeitschrift
影响因子:
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通讯作者:
Yanjun Yao
Yanjun Yao
中科院分区:
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文献类型:
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作者:
Taiyu Li;Yanjun Yao

文献摘要

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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.