New extensions to the sumsets with polynomial restrictions

Zhou Yue

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New extensions to the sumsets with polynomial restrictions

Zhou Yue *

School of Mathematical Science and Computing Technology, Central South University, ChangSha 410075

*Correspondence author

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Funding: Specialized Research Fund for the Doctoral Program of Higher Education（No.20110162120074）

Opened online:27 February 2012

Accepted by: none

Citation: Zhou Yue.New extensions to the sumsets with polynomial restrictions[OL]. [27 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4466594

In this paper, new polynomial coefficients are obtained by taking the leading andthe second leading coefficients of the Morris identity. These coefficientslead to new results in the sumsets with polynomial restrictions by the polynomial method of N. Alon.

Keywords:Sumsets with polynomial restrictions; lower bounds; polynomial method; Morris identity

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