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On Sums of a Prime, and a Square of Prime, and a κ-power of Prime

On Sums of a Prime, and a Square of Prime, and a κ-power of Prime
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摘要 In 1923, Hardy and Littlewood[1] conjectured that each integer n can be written asp+m12+ m22 = n,and Linnik[2,3] proved that this conjecture is true. But if these mi with i = 1,2 are restricted to primes Pi, the corresponding result is out of reach at present. We consider the following Diophantine equation
出处 《Northeastern Mathematical Journal》 CSCD 2002年第4期283-286,共4页 东北数学(英文版)
关键词 circle method PRIME Dirichlet character circle method, prime, Dirichlet character
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  • 1G. H. Hardy,J. E. Littlewood.Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes[J].Acta Mathematica.1923(1) 被引量:1

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