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On an entry of ramanujan concerning divergent series

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Abstract

A vague entry of Ramanujan concerning nearly equal terms of two divergent series is put into a precise form.

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References

  1. Berndt, B.C.: Ramanujan’s Notebooks IV, New York 1994

  2. Hadamard, J.: Sur les caractères de convergence des séries a termes positifs et sur les fonctions indéfiniment croissantes, Acta Math. 18 (1894) 319–336

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  3. Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Berlin 1947

  4. Ramanujan, S.: Notebooks, Tata Inst. Fundamental Research, Bombay, 1957

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  1. FB Mathematik Universität Rostock, D-18051, Rostock

    Lothar Berg

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  1. Lothar Berg
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Berg, L. On an entry of ramanujan concerning divergent series. Results. Math. 30, 225–227 (1996). https://doi.org/10.1007/BF03322192

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  • DOI: https://doi.org/10.1007/BF03322192

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