摘要
OntheEquationn=p+k~2inShortIntervals¥WangTianze(DepartmentofMathematics,HenanUniversity,Kaifeng475001)Abstract:DenotebyE(X,Y)?..
Denote by E(X,Y) the number of integers a∈ [X, X + Y] which is not the sum of a prime and a square. In this paper we prove that E(X, Y)<<Y(logX)(-4) for any A > 0 provided that Y≥X7/12+s.