CANCELLATIONS BETWEEN KLOOSTERMAN SUMS MODULO A PRIME POWER WITH PRIME ARGUMENTS
作者: Kui LiuIgor E. ShparlinskiTianping Zhang
作者单位: 11 School of Mathematics and Statistics , Qingdao University , No. 308 , Ningxia Road , Shinan , Qingdao , Shandong 266071 , P.R. China email liukui@qdu.edu.cn
2 2 Department of Pure Mathematics , University of New South Wales , Sydney , NSW 2052 , Australia email igor.shparlinski@unsw.edu.au
3 3 School of Mathematics and Information Science , Shaanxi Normal University , Xi’an 710119 Shaanxi , P.R. China email tpzhang@snnu.edu.cn
刊名: Mathematika, 2019, Vol.65 (3), pp.475-487
来源数据库: Cambridge University Press Journal
DOI: 10.1112/S0025579318000554
原始语种摘要: We obtain a non-trivial bound for cancellations between the Kloosterman sums modulo a large prime power with a prime argument running over very short intervals, which in turn is based on a new estimate on bilinear sums of Kloosterman sums. These results are analogues of those obtained by various authors for Kloosterman sums modulo a prime. However, the underlying technique is different and allows us to obtain non-trivial results starting from much shorter ranges.
全文获取路径: Cambridge U Press  (合作)
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影响因子:0.426 (2012)

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关键词翻译
关键词翻译
  • PRIME Pacific Region Information in Mathmatics Education
  • modulo 
  • trivial 微不足道的
  • prime 涂底层
  • obtain 获得
  • starting 起动
  • running 运转
  • estimate 估计
  • argument 自变量
  • various 千变万化的