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The abstract prime number theorem

LI Jin-hong1,2   

  1. 1. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China;2. College of Mathematics and Physics, Shandong Institute of Light Industry, Jinan 250353, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: LI Jin-hong

Abstract: The zero-free region of the abstract zeta function ζG(z) was studied. For its application, an asymptotic formula of the abstract prime number theorem was established.

Key words: abstract analytic number theory , abstract prime number theorem, zero-free region

CLC Number: 

  • O156.4
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[2] ZHANG De-yu and ZHAI Wen-guang . On certain divisor sum over squarefull integers [J]. J4, 2006, 41(2): 63-68 .
[3] XU Yun-fei and Lǔ . Sums of nine almost equal prime cubes [J]. J4, 2006, 41(2): 59-62 .
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