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The distribution of the zeros of L-functions and the least prime in some arithmetic progression

The distribution of the zeros of L-functions and the least prime in some arithmetic progression
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摘要 This paper gives some new estimations to the distribution of the zeros of L-functions and proves that the least prime in an arithmetic progression with a prime differenceq is ?q 4.5. This paper gives some new estimations to the distribution of the zeros of L-functions and proves that the least prime in an arithmetic progression with a prime difference q is << q^4.5.
作者 蒙在照
出处 《Science China Mathematics》 SCIE 2000年第9期937-944,共8页 中国科学:数学(英文版)
关键词 DISTRIBUTION of ZEROS least PRIME LAPLACE transform. distribution of zeros least prime Laplace transform
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参考文献5

  • 1Wang Wei.On the least prime in an arithmetic progression[J].Acta Mathematica Sinica.1991(3)
  • 2Motohashi,Y.A note on the least prime in an arithmetic progression with a prime difference[].Acta Arithmetica.1970
  • 3Heath-Brown,D.R.Zero-free regions for Dirichlet L-functions,and the least prime in an arithmetic progression,Proc[].London Mathematical Society.1992
  • 4Heath-Brown,D.R.Siegel zeros and the least prime in an arithmetic progression,Quart.J[].MathOxford.1990
  • 5Liu Ming-chit,Wang Tianze.A numerical bound for small prime solutions of some ternary linear equations[].Acta Arithmetica.1998

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