Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (6): 2367-2376.doi: 10.1007/s10473-022-0610-1

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PROPORTION OF DISTINCT ZEROS OF A DIRICHLET L-SERIES

Xinhua QIN, Xiaosheng WU   

  1. School of Mathematics, Hefei University of Technology, Hefei 230009, China
  • Received:2022-07-14 Online:2022-12-25 Published:2022-12-16
  • Supported by:
    This work was supported in part by NSFC (11871187) and the Fundamental Research Funds for the Central Universities of China.

Abstract: By studying the distribution of zeros of combinations of a Dirichlet L-function and its first-order derivative, we prove that every Dirichlet L-function has more than 66.7934% distinct zeros.

Key words: simple zeros, distinct zeros, Dirichlet L-function

CLC Number: 

  • 11M26
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