Sign Changes of Kloosterman Sums with Almost Prime Moduli. II

Sign Changes of Kloosterman Sums with Almost Prime Moduli. II
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Kloosterman 和与几乎素模的符号变化。

DOI:
10.1093/imrn/rnw276
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发表时间:
2018
影响因子:
1
通讯作者:
Xi Ping
Xi Ping
中科院分区:
数学1区
文献类型:
--
作者:
Xi Ping

文献摘要

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本文证明了Kloosterman和在至多7个素因子的无平方数上无穷常变号,改进了Fouvry和Michel,Sivak-Fischler,Matomäki和作者的结果.
We prove that the Kloosterman sumchanges sign infinitely often asruns over squarefree numbers with at most 7 prime factors, which improves the previous results of Fouvry and Michel, Sivak-Fischler, Matomäki, and the author.