Bilinear forms with exponential sums with binomials

JOURNAL OF NUMBER THEORY

卷:188

Article

Liu, Kui¹  Shparlinski, Igor E.²  Zhang, Tianping³ 

[1] Qingdao Univ, Sch Math & Stat, 308 Ningxia Rd, Qingdao 266071, Shandong, Peoples R China

[2] Univ New South Wales, Dept Pure Math, Sydney, NSW 2052, Australia

[3] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710019, Shaanxi, Peoples R China

关键词: Binomial sums;    Cancellation;    Bilinear form;   

DOI  :  10.1016/j.jnt.2017.12.011

来源: Elsevier

【 摘 要 】

We obtain several estimates for bilinear forms with exponential sums with binomials mx(k) + nx(l). In particular we show the existence of nontrivial cancellations between such sums when the coefficients m and n vary over rather sparse sets of general nature. (C) 2018 Published by Elsevier Inc.

【 授权许可】

Free