Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CONVOLUTION SUM OF RAMANUJAN'S SUM

  • JO, GYE HWAN (Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University) ;
  • BAYAD, ABDELMEJID (Universite d'Evry Val d'Essonne, Universite Paris-Saclay, CNRS (UMR 8071), Laboratoire de Mathematiques et Modelisation d'Evry, I.B.G.B.I.) ;
  • KIM, DAEYEOUL (Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University)
  • Received : 2022.01.24
  • Accepted : 2022.02.25
  • Published : 2022.03.30
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Abstract

This article is the result of calculating the convolution of Ramanujan's sum and natural number multiplied. Among these results, special values are expressed by Euler and Bernoulli functions.

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Acknowledgement

The corresponding author is supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT). (No. 2021R1F1A1051093)

References

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