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An Simple Elementary Proof for the Inequality dn〈3^n

An Simple Elementary Proof for the Inequality dn〈3^n
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摘要 In this paper, by using a variation of the Chebyshev's method, we present a very simple, elementary proof of an inequality which has applications in number theory. In this paper, by using a variation of the Chebyshev's method, we present a very simple, elementary proof of an inequality which has applications in number theory.
作者 Bei-ye Feng
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第3期455-458,共4页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No.10171099)
关键词 dn<3^n simple elementary proof Chebyshev's method dn<3^n, simple elementary proof, Chebyshev's method
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参考文献7

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  • 2Chebyshev, P. Memoire sur les Nombres Premiers. Journal de Mathematique, 17:366-390 (1852).
  • 3Hanson, D. Oil tile product of the primes. Canadian Math. Bull., 15:33-37 (1972).
  • 4Huylebrouck, D. Similarities in Irrationality Proofs forπ, ιn2,ζ(2), and ζ(3). Amer. Math. Monthly,108(3): 222-231 (2001).
  • 5Kumanduri, R. Number theory with computer application. Prentice-Hall, Inc, Upper Saddle River, New Jersey, 1993.
  • 6Pereira, N.C. Elementary estimates for the chebyshev function ψ(x) and for the Mbbius function M(x).Acta Arithmetica LII: 307-337 (1989).
  • 7Rosser, J.B., Schoenfeld, L. Sharper bounds for the chebyshev function ο(x) and ψ(x). Math. Comp., 29:243-269 (1975).

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