Chen's Conjecture and Its Generalization

(整期优先)网络出版时间:2013-06-16
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Letl1,l2,…,lgbeevenintegersandxbeasufficientlylargenumber.Inthispaper,theauthorsprovethatthenumberofpositiveoddintegersk≤xsuchthat(k+l1)2,(k+l2)2,…,(k+lg)2cannotbeexpressedas2n+pαisatleastc(g)x,wherepisanoddprimeandtheconstantc(g)dependsonlyong.