SUM–PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OFγANDγ+γ−1IN FINITE FIELDS-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

SUM–PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OFγANDγ+γ−1IN FINITE FIELDS

Published:2011-11-30 Issue:3 Volume:85 Page:505-508
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

SHPARLINSKI IGOR

Abstract

AbstractUsing a recent result on the sum–product problem, we estimate the number of elementsγin a prime finite field such that bothγandγ+γ−1are of small order.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. On a variant of sum-product estimates and explicit exponential sum bounds in prime fields

2. MULTIPLICATIVE ORDER OF GAUSS PERIODS

3. Orders of Gauss Periods in Finite Fields

4. [7] von zur Gathen J. and Shparlinski I. , ‘Constructing elements of large order in finite fields and Gauss periods’, Proc. the 13th Symp. on Appl. Algebra, Algebraic Algorithms, and Error-Correcting Codes, Honolulu, HI, 1999, Lecture Notes in Computer Science, 1719 (Springer, Berlin, 1999), pp. 404–497.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ‘SUM-PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OF AND IN FINITE FIELDS’;Bulletin of the Australian Mathematical Society;2013-02-21

2. Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition;Number Theory and Related Fields;2013

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP