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ON  THE  FUNCTIONAL-DIFFERENTIAL EQUATION  OF  THE  DISTRIBUTION OF  PRIME  NUMBERS
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作者 郑祖庥 吴汉忠 《Annals of Differential Equations》 1999年第1期99-106,共8页
In this paper the functional-differential equation of the distribution of primenumbers derived by de Visme [4] is strdied in details. It is proved that there existinfinitely many solutions of this equation , and all p... In this paper the functional-differential equation of the distribution of primenumbers derived by de Visme [4] is strdied in details. It is proved that there existinfinitely many solutions of this equation , and all positive strong solutions andpositive solutions of the Cauchy problem behave very much like the distrbutionfunction of prime numbers. The results are complementary to Driver [1] andwright [3]. 展开更多
关键词 distribution of prime numbers function-differential equation existence asymptotic behaviorAMS Subject Classification 34k05
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