• Corpus ID: 85454626

Three Notes on Ser's and Hasse's Representations for the Zeta-functions

@article{Blagouchine2016ThreeNO,
  title={Three Notes on Ser's and Hasse's Representations for the Zeta-functions},
  author={Iaroslav V. Blagouchine},
  journal={Integers},
  year={2016},
  volume={18A},
  pages={A3}
}
This paper is devoted to Ser's and Hasse's series representations for the zeta-functions, as well as to several closely related results. The notes concerning Ser's and Hasse's representations are given as theorems, while the related expansions are given either as separate theorems or as formulae inside the remarks and corollaries. In the first theorem, we show that the famous Hasse's series for the zeta-function, obtained in 1930 and named after the German mathematician Helmut Hasse, is… 

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