Skip to main content
SpringerLink
Log in

On a method for deriving formulas for the Jacobi theta functions

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

A new method for deriving formulas for the Jacobi theta functions is considered.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 3rd ed., Part 2: Transcedental Functions (Cambridge Univ. Press, Cambridge, 1927; GIFML,Moscow, 1963).

    Google Scholar 

  2. B. C. Berndt, Ramanujan’s Notebooks, Part V (Springer-Verlag, New York, 1998).

    Book  MATH  Google Scholar 

  3. B. C. Berndt, Ramanujan’s Notebooks, Part III (Springer-Verlag, New York, 1991).

    Book  MATH  Google Scholar 

  4. B. A. Dubrovin, “Theta functions and nonlinear equations,” Uspekhi Mat. Nauk 36(2), 11–80 (1981) [Russian Math. Surveys 36 (2), 11–92 (1981)].

    MathSciNet  Google Scholar 

  5. E. D. Belokolos, A. I. Bobenko, V. Z. Enol’skii, A. R. Its, and V. B. Mateveev, Algebro-Geometrical Approach to Nonlinear Evolution Equations, in Springer Ser. Nonlinear Dynamics (Springer-Verlag, New York, 1994).

    Google Scholar 

  6. G. E. Andrews, “An introduction to Ramanujan’s “lost” notebook,” Amer. Math. Monthly 86(2), 89–108 (1979).

    Article  MathSciNet  MATH  Google Scholar 

  7. G. E. Andrews, “Ramanujan’s “lost” notebook III. The Rogers-Ramanujan continued fraction,” Adv. in Math. 41(2), 186–208 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  8. G. E. Andrews and B. C. Berndt, Ramanujan’s Lost Notebook, Part I (Springer-Verlag, New York, 2005).

    MATH  Google Scholar 

  9. G. E. Andrews and B. C. Berndt, Ramanujan’s Lost Notebook, Part II (Springer-Verlag, New York, 2009).

    MATH  Google Scholar 

  10. S. Ramanujan, Lost Notebook and Other Unpublished Papers (Narosa Publ. House, New Delhi, 1988).

    MATH  Google Scholar 

  11. D. Bowman, J. McLaughlin, and A. V. Sills, “Some more identities of Rogers-Ramanujan type,” Ramanujan J. 18(3), 307–325 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  12. J. McLaughlin and A. V. Sills, “Rogers-Ramanujan-Slater type identities,” Electron. J. Combin., No. #DS15 (2008). Dynamic Survey

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Matematicheskie Zametki, Steklov Mathematical Institute, Moscow, Russia

    S. E. Gladun

Authors
  1. S. E. Gladun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. E. Gladun.

Additional information

Original Russian Text © S. E. Gladun, 2014, published in Matematicheskie Zametki, 2014, Vol. 96, No. 4, pp. 504–511.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gladun, S.E. On a method for deriving formulas for the Jacobi theta functions. Math Notes 96, 484–490 (2014). https://doi.org/10.1134/S0001434614090235

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434614090235

Keywords

Search

Navigation