JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (4): 68-71.doi: 10.6040/j.issn.1671-9352.0.2016.190

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Some constants in a summation formula

GUO Ru-ting1, WANG Ming-qiang2   

  1. 1. Information Working Office, Shandong University, Jinan 250100, Shandong, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2016-04-28 Online:2017-04-20 Published:2017-04-11

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Abstract: Some constants are given in an asymptotic formula. The constants are about the mean value estimates of the divisor function of a quadratic form. We have evaluated two singular series and one singular integral. We also have given the analytic formula of the other singular integral.

Key words: asymptotic formula, divisor function, mean value estimate

CLC Number: 

  • O156
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