Skip to main content
Log in

Simultaneous approximation measures for functions satisfying generalized functional equations of mahler type

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. P.-G. Becker, Algebraic Independence of the Values of Certain Series by Mahler’s Method.Monatsh. Math. 114 (1992), 183–198.

    Article  MATH  MathSciNet  Google Scholar 

  2. —, Transcendence of the values of functions satisfying generalized Mahler type functional equations.J. reine angew. Math. 440 (1993), 111–128.

    MATH  MathSciNet  Google Scholar 

  3. ---, Transcendence measures for the values of generalized Mahler functions in arbitrary characteristic, to appear inPubl. Math. Debrecen.

  4. P.-G. Becker andW. Bergweiler, Transcendency of Local Conjugacies in Complex Dynamics and Transcendency of Their Values.Manuscripta Math. 81 (1993), 329–337.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. I. Galochkin, Transcendence measures of the values of functions satisfying certain functional equations.Math. Notes 27 (1980), 83–88.

    MATH  MathSciNet  Google Scholar 

  6. F. Gramain, M. Mignotte andM. Waldschmidt, Valeurs algébriques de fonctions analytiques.Acta Arith. 47 (1986), 97–121.

    MATH  MathSciNet  Google Scholar 

  7. S. Lang,Introduction to the theory of transcendental numbers. Addison-Wesley, Reading (1966).

  8. K. Mahler, Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen.Math. Ann. 101 (1929), 342–366.

    Article  MATH  MathSciNet  Google Scholar 

  9. —, Über das Verschwinden von Potenzreihen mehrerer Veränderlichen in speziellen Punktfolgen.Math. Ann. 103 (1930), 573–587.

    Article  MATH  MathSciNet  Google Scholar 

  10. —, Arithmetische Eigenschaften einer Klasse transzendental-transzendenter Funktionen.Math. Z. 32 (1939), 545–585.

    Article  MathSciNet  Google Scholar 

  11. —, Remarks on a paper by W. Schwarz.J. Number Theory 1 (1969), 512–521.

    Article  MATH  MathSciNet  Google Scholar 

  12. W. Miller, Transcendence measures by a method of Mahler.J. Austral. Math. Soc. (Ser. A)32 (1982), 68–78.

    MATH  Google Scholar 

  13. K. Nishioka, On a problem of Mahler for transcendency of function values.J. Austral. Math. Soc. (Ser. A)33 (1982), 386–393.

    Article  MATH  MathSciNet  Google Scholar 

  14. ——, On a problem of Mahler for transcendency of function values II.Tsukuba J. Math. 7 (1983), 265–279.

    MATH  MathSciNet  Google Scholar 

  15. K. Nishioka andTh. Töpfer, Transcendence measures and nonlinear functional equations of Mahler type.Arch. Math. 57 (1991), 370–378.

    Article  MATH  Google Scholar 

  16. Th. Töpfer, Simultaneous approximation and algebraic independence in Mahler’s method.Tagungsbericht Math. Forsch. Inst. Oberwolfach 42 (1990), 20.

    Google Scholar 

  17. ---,Untersuchungen zur algebraischen Unabhängigkeit der Werte Mahlerscher Funktionen. Dissertation, Universität zu Kö ln, 1991.

  18. —, Algebraic independence of the values of generalized Mahler functions.Acta Arith. 70 (1995), 161–181.

    MATH  MathSciNet  Google Scholar 

  19. ---, Zero order estimates for functions satisfying generalized functional equations of Mahler type, to appear inActa Arith..

  20. N. C. Wass,Algebraic independence of the values at algebraic points of a class of functions considered by Mahler. Diss. Math. CCCIII (1990).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Töpfer, T. Simultaneous approximation measures for functions satisfying generalized functional equations of mahler type. Abh.Math.Semin.Univ.Hambg. 66, 177–201 (1996). https://doi.org/10.1007/BF02940803

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02940803

Keywords

Navigation