Skip to main content
SpringerLink
Log in

Ramanujan—100 years old (fashioned) or 100 years new (fangled)?

  • Article
  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. G. E. Andrews, The fifth and seventh order mock theta functions,Trans. Amer. Math. Soc. 293 (1986), 113–134.

    Article  MATH  MathSciNet  Google Scholar 

  2. ——, Questions and conjectures in partition theory,Amer. Math. Monthly 93 (1986), 708–711.

    Article  MATH  MathSciNet  Google Scholar 

  3. G. E. Andrews,q-series: Their development and applications in analysis, number theory, combinatorics, physics, and computer algebra, CBMS regional conf., no. 66, Amer. Math. Soc., Providence, 1986.

  4. G. E. Andrews and D. Hickerson,Partitions and indefinite quadratic forms, to appear.

  5. G. E. Andrews, R. A. Askey, B. C. Berndt, K. G. Ramanathan, and R. A. Rankin, eds.,Ramanujan Revisited, Academic Press, Boston, 1988, to appear.

    MATH  Google Scholar 

  6. R. Apéry, Interpolation de fractions continues et irrationalite de certaines constantes,Bull. Section des Sci., Tome III, Bibliotheque Nationale, Paris, 1981, 37–63.

    Google Scholar 

  7. R. J. Baxter, Ramanujan’s identities in statistical mechanics,Ramanujan Revisited, Academic Press, Boston, 1988, to appear.

    Google Scholar 

  8. B. C. Berndt,Ramanujan’s Notebooks, Part I, Springer-Verlag, New York, 1985.

    MATH  Google Scholar 

  9. B. C. Berndt and R. J. Evans, Chapter 13 of Ramanujan’s second notebook: Integrals and asymptotic expansions,Expos. Math. 2 (1984), 289–347.

    MATH  MathSciNet  Google Scholar 

  10. B. C. Berndt, R. L. Lamphere, and B. M. Wilson, Chapter 12 of Ramanujan’s second notebook: Continued fractions,Rocky Mt. J. Math. 15 (1985), 235–310.

    Article  MATH  MathSciNet  Google Scholar 

  11. H. Cohen, Sur une fausse forme modulaire liee a des identites de Ramanujan et Andrews,Proceedings of the International Number Theory Conf., Université Laval, 1987, to appear.

  12. R. J. Evans, Ramanujan’s second notebook: asymptotic expansions for hypergeometric series and related functions,Ramanujan Revisited, Academic Press, Boston, 1988, to appear.

    Google Scholar 

  13. G. H. Hardy,Ramanujan, third ed., Chelsea, New York, 1978.

    Google Scholar 

  14. G. H. Hardy and S. Ramanujan, The normal number of prime factors of a numbern, Quart. J. Math. 48 (1917), 76–92.

    MATH  Google Scholar 

  15. G. H. Hardy and S. Ramanujan, Asymptotic formulae in combinatory analysis,Proc. London Math. Soc. (2) 17 (1918), 75–115.

    Article  Google Scholar 

  16. S. Raghavan, Euler products, modular identities and elliptic integrals in Ramanujan’s manuscripts I,Ramanujan Revisited, Academic Press, Boston, 1988, to appear.

    Google Scholar 

  17. K. G. Ramanathan, Srinivasa Ramanujan 22 December 1887-26 April 1920,J. Indian Math. Soc., to appear.

  18. S. Ramanujan, On certain arithmetical functions,Trans. Cambridge Philos. Soc. 22 (1916), 159–184.

    Google Scholar 

  19. S. Ramanujan,Collected Papers, Chelsea, New York, 1962.

    Google Scholar 

  20. S. Ramanujan,Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957.

    Google Scholar 

  21. S. Ramanujan,Lost Notebook, unpublished manuscript, Trinity College Library, Cambridge.

  22. S. S. Rangachari, Euler products, modular identities and elliptic integrals in Ramanujan’s manuscripts II,Ramanujan Revisited, Academic Press, Boston, 1988, to appear.

    Google Scholar 

  23. R. A. Rankin, Ramanujan’s manuscripts and notebooks,Bull. London Math. Soc. 14 (1982), 81–97.

    Article  MATH  MathSciNet  Google Scholar 

  24. R. A. Rankin, Ramanujan as a patient,Proc. Indian Acad. Sci. (Math. Sci.) 93 (1984), 79–100.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 61801, Urbana, IL, USA

    Bruce C. Berndt

Authors
  1. Bruce C. Berndt
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berndt, B.C. Ramanujan—100 years old (fashioned) or 100 years new (fangled)?. The Mathematical Intelligencer 10, 24–31 (1988). https://doi.org/10.1007/BF03026638

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03026638

Keywords

Search

Navigation