| ON THE FUNCTIONAL-DIFFERENTIAL EQUATION OF THE DISTRIBUTION OF PRIME NUMBERS |
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| 引用本文： | 郑祖庥,吴汉忠. ON THE FUNCTIONAL-DIFFERENTIAL EQUATION OF THE DISTRIBUTION OF PRIME NUMBERS[J]. Annals of Differential Equations, 1999, 0(1) |
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| 作者姓名： | 郑祖庥 吴汉忠 |
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| 作者单位： | Zhang Zuxiu (Dept. of Math.，Anhui University，Hefei 230039)Wu Hanzhong (Dept. of Math.，Zhejiang University，Hangzhou 310027) |
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| 摘 要： | 1IntroductionsandStatementsInt-,iloIf)4-0'sCllorw'3I](see(ieVisme[4],Wright[:l]alldDriver[1])al,t}(}Inr)1,cdforil](lal[(lllrisl-,i(ital]yarlalyti(:itlI)rooftilt)prim(?number1,if(3or'3m5whi
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ON THE FUNCTIONAL-DIFFERENTIAL EQUatION OF THE DISTRIBUTION OF PRIME NUMBERS |
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| Zhang Zuxiu. ON THE FUNCTIONAL-DIFFERENTIAL EQUatION OF THE DISTRIBUTION OF PRIME NUMBERS[J]. 微分方程年刊(英文版), 1999, 0(1) |
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| Authors: | Zhang Zuxiu |
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| Abstract: | 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]. |
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| Keywords: | distribution of prime numbers function-differential equation existence asymptotic behaviorAMS Subject Classification 34K05 |
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