数学季刊 ›› 1994, Vol. 9 ›› Issue (4): 4-7.

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On the Equation n =p +k2 in Short Intervals

  

  1. Department of Mathematics,Henan  University,Kaifeng  475001

  • 收稿日期:1994-03-01 出版日期:1994-12-30 发布日期:2025-04-07

On the Equation n =p +k2 in Short Intervals

  1. Department of Mathematics,Henan  University,Kaifeng  475001
  • Received:1994-03-01 Online:1994-12-30 Published:2025-04-07

摘要:  Denote by R(X,Y) the number of integers n∈[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)⁻*for  any  A>0 provided  that Y≥x+ . 


关键词:  , short intervals, primes, positive integers

Abstract:  Denote by R(X,Y) the number of integers n∈[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)⁻*for  any  A>0 provided  that Y≥x+ . 

Key words:  , short intervals, primes, positive integers

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