Skip to main content
SpringerLink
Log in

Algebraic independence of certain numbers connected with the exponential and elliptic functions

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Literature cited

  1. A. O. Gel'fond, “On the algebraic independence of transcendent numbers of certain classes,” Usp. Mat. Nauk,4, No. 5, 14–48 (1949).

    Google Scholar 

  2. A. O. Gel'fond, Transcendental and Algebraic Numbers [in Russian], Gostekhizdat, Moscow (1952).

    Google Scholar 

  3. A. Hurwitz and R. Courant, The Theory of Functions [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  4. K. Ramachandra, “Contributions to the theory of transcendental numbers. II,” Acta Arith.,14, 75–88 (1968).

    Google Scholar 

  5. M. Waldschmidt, “Propriétés arithmétiques des valeurs de fonctions méromorphes algébriquement indépendantes,” Acta Arith.,23, 19–88 (1973).

    Google Scholar 

  6. A. A. Shmelev, “On the question of the algebraic independence of exponents,” Mat. Zametki,17, 407–418 (1975).

    Google Scholar 

  7. N. I. Fel'dman, “Joint approximation of the periods of an elliptic function by algebraic numbers,” Izv. Akad. Nauk SSSR, Ser. Mat.,22, 563–576 (1958).

    Google Scholar 

  8. S. Lang, Introduction to Transcendental Numbers, Addison-Wesley, Reading, Mass. (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Electronic Control Machines, Moscow

    A. A. Shmelev

Authors
  1. A. A. Shmelev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 33, No. 2, pp. 277–282, March–April, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shmelev, A.A. Algebraic independence of certain numbers connected with the exponential and elliptic functions. Ukr Math J 33, 216–220 (1981). https://doi.org/10.1007/BF01086088

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086088

Keywords

Search

Navigation