Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (2): 94-97.

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Modular Transformation Formula for Certain Series 

  

  1. 同济大学数学研究所 上海200092 
  • Received:2000-11-16 Online:2001-06-30 Published:2024-06-19
  • About author:JIAO Rong-zheng(1974-),male,native of Taizhou,Ph.D.Candidate of Tongji University,engages in number theory.

Abstract: 本文纠正了Apostol在文 [1 ]中给出的一类级数的模变换公式 ,作为应用 ,我们得到了 ζ(3)的一个估计 . 

Key words: 级数, 模变换, Bernoulli多项式, zeta_函数, 留数,

CLC Number: