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  • 标题:A Parameter for Ramanujan's Function χ(q): Its Explicit Values and Applications
  • 本地全文:下载
  • 作者:Nipen Saikia
  • 期刊名称:ISRN Computational Mathematics
  • 电子版ISSN:2090-7842
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.5402/2012/169050
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We define a new parameter 𝐼𝑘,𝑛 involving quotient of Ramanujan's function 𝜒(𝑞) for positive real numbers 𝑘 and 𝑛 and study its several properties. We prove some general theorems for the explicit evaluations of the parameter 𝐼𝑘,𝑛 and find many explicit values. Some values of 𝐼𝑘,𝑛 are then used to find some new and known values of Ramanujan's class invariant 𝐺𝑛.
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