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The exceptional set for the sum of a prime and a square
Authors:Li Hongze
Institution:(1) Department of Mathematics, Shanghai Jiaotong University, Shanghai, P.R. China
Abstract:Let E(X) denote the number of natural numbers not exceeding X which cannot be written as a sum of a prime and a square. In this paper we show that for sufficiently large X we have E(X)<< X0.982. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:circle method  prime  square
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