Skip to main content
SpringerLink
Log in

Estimates of algebraic independence measures of values of E-functions

  • Published:
Siberian Mathematical Journal 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.

Institutional subscriptions

Literature Cited

  1. A. B. Shidlovskii, Transcendental Numbers [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  2. Yu. V. Nesterenko, “Estimates of the orders of zeros of functions of a certain class and their application in the theory of transcendental numbers,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 2, 253–284 (1977).

    Google Scholar 

  3. W. D. Brownawell, “Effectivity in independence measures for values of E-functions,” J. Austral. Math. Soc., Ser. A,39, 227–240 (1985).

    Google Scholar 

  4. Yu. V. Nesterenko, “Effective estimates of an algebraic independence measure of values of E-functions,” Vestnik Mosk. Gos. Univ., Ser. 1, Mat. Mekh., No. 4, 85–88 (1988).

    Google Scholar 

  5. A. B. Shidlovskii, “On the estimates of the algebraic independence measures of the values of E-functions,” J. Austral. Math. Soc., Ser. A,27, 385–407 (1979).

    Google Scholar 

  6. Nguen T'en Tai, “Estimates of orders of zeros of polynomials in analytic functions and their application to estimates of a mutual transcendence measure of values of E-functions,” Mat. Sb.,120, No. 1, 112–142 (1983).

    Google Scholar 

  7. A. B. Shidlovskii, “Estimates of polynomials in values of E-functions,” Mat. Sb.,115, No. 1, 3–39 (1981).

    Google Scholar 

  8. V. A. Gorelov, “Estimates of algebraic independence measures of values of E-functions,” VINITI Dep. No. 7391-84, Moscow (1984).

  9. A. I. Galochkin, “Estimate of a mutual transcendence measure of values of E-functions,” Mat. Zametki,3, No. 4, 377–386 (1968).

    Google Scholar 

  10. C. L. Siegel, “Über einige Anwendungen Diophantischer Approximationen,” Abh. Preuss. Acad. Wiss., Phys. Math. Kl., No. 1, 1–70 (1929–1930).

    Google Scholar 

  11. F. Beukers, D. Brownawell, and G. Heckman, “Siegel normality,” Ann. Math.,127, 279–308 (1988).

    Google Scholar 

Download references

Authors
  1. V. A. Gorelov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Ivanovo. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 31–45, September–October, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gorelov, V.A. Estimates of algebraic independence measures of values of E-functions. Sib Math J 31, 732–743 (1990). https://doi.org/10.1007/BF00974486

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00974486

Keywords

Search

Navigation