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.
简介:AgraphissaidtobeK1,4-freeifitdoesnotcontainaninducedsubgraphisomorphictoK1,4.Letkbeanintegerwithk≥2.WeprovethatifGisaK1,4-freegraphoforderatleast11k-10withminimumdegreeatleastfour,thenGcontainskvertex-disjointcopiesofK1+(K1∪K2).
简介:在不定积分的教学中,我们会碰到形如integralfromn=1(Pn(x)dx)/((x+Px+q)q?)的积分,如同济二版高等数学
Small Solutions of the Congruence a1x12+a2x22+a3x32+a4x42≡c(mod p)
Vertex-disjoint K1+ (K1 ∪ K2) in Kl,4-free Graphs with Minimum Degree at Least Four
求∫(P_n(x)dx)/((x~2+px+q)~2)(n∈N,p~2-4q■0)的一种简便方法