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  • 简介:<正>Foranyintegersa1,a2,a3,a4andcwitha1a2a3a40(modp),thispapershowsthatthereexistsasolutionX=(x1,x2,x3,x4)∈Z4ofthecongruencea1x12+a2x22+a3x32+a4x42≡c(modp)suchthat‖X‖=max{|x1|,|x2|,|x3|,|x4|}《p1/2logp.

  • 标签: CHARACTER SUMS CONGRUENCES
  • 简介:AgraphissaidtobeK1,4-freeifitdoesnotcontainaninducedsubgraphisomorphictoK1,4.Letkbeanintegerwithk≥2.WeprovethatifGisaK1,4-freegraphoforderatleast11k-10withminimumdegreeatleastfour,thenGcontainskvertex-disjointcopiesofK1+(K1∪K2).

  • 标签: 不相交 最小度 FREE图 顶点 吉隆坡 曲线图