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Riemann’s example of a continuous “nondifferentiable” function continued

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References

  1. Davenport, H., On some infinite series involving arithmetic functions, Quarterly Journal of Mathematics 8 (1937), pp. 8–13 and part II, same volume, pp. 313–320.

    Article  Google Scholar 

  2. Garg, K. M., Mathematical Reviews, vol. 46 (1937) Review No.7451 (p. 1286, Review of [9] ).

    Google Scholar 

  3. Gerver, J., The Differentiability of the Riemann Fuction at Certain Rational Multiples of π, Proc. Nat. Acad. Sci. 62, (1969), pp. 668–670.

    Article  MATH  MathSciNet  Google Scholar 

  4. Gerver, J., The Differentiability of the Riemann Function at Certain Rational Multiples of π, Amer. J. Math 92, (1970), pp. 33–55.

    Article  MATH  MathSciNet  Google Scholar 

  5. Gerver, J., More on the Differentiability of the Riemann Funktion at Certain Rational Multiples of π, Amer. J. of Math. 93 (1971), pp. 33–41.

    Article  MATH  MathSciNet  Google Scholar 

  6. Hardy, G. H., Weierstrass’s Non-Differentiable Function, Transactions Am. Math. Soc. 17, (1916), pp. 301–325.

    Article  MATH  MathSciNet  Google Scholar 

  7. Kahane, J. P., Lacunary Taylor and Fourier Series, Bull. Am. Math. Soc. 70, (1964), pp. 199–213.

    Article  MATH  MathSciNet  Google Scholar 

  8. Neuenschwander, E., Riemann’s Example of a Continuous, “Nondifferentiable” Function, The Mathematical Intelligencer 1, (1978), pp. 40–44.

    Article  MATH  MathSciNet  Google Scholar 

  9. Smith, A., The Differentiability of Riemann’s Function, Proc. Am. Math. Soc. 34 (1972), pp. 463–468.

    Article  MATH  Google Scholar 

  10. Weierstrass, K., Letter of 23 November 1873 to Paul DuBois-Reymond, reprinted in Acta Mathematica, 39, (1923), pp. 199–201.

    Article  MATH  Google Scholar 

  11. Weierstrass, K., über continuirliche Functionen eines Reellen Arguments, die für keinen Werth des letzteren einen bestimmten Differentialquotienten besitzen, K. Weierstrass, Mathematische Werke II, pp. 71–74 (paper read in the Academy of Sciences 18 July (1872).

  12. Weierstrass, K., Letter of 10 February 1876 to L. Koenigsberger reprinted in Acta Mathematica 39 (1923), pp. 231–234.

    Google Scholar 

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  1. University of Rochester Rochester, New York, USA

    S. L. Segal

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  1. S. L. Segal
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Segal, S.L. Riemann’s example of a continuous “nondifferentiable” function continued. The Mathematical Intelligencer 1, 81–82 (1978). https://doi.org/10.1007/BF03023065

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