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Über Mittelwerte trigonometrischer Summen und ihre Anwendung in algebraischen Zahlkörpern

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Literatur

  1. Corput, J. G. van der: Contribution à la théorie additive des nombres V. Proc. Akad. Wetensch. Amsterdam42, 2–12 (1939).

    Google Scholar 

  2. Hardy, G. H., andJ. E. Littlewood: A new solution of Waring's problem. Quart. J. Math. (Oxford)48, 272–293 (1919).

    Google Scholar 

  3. Hecke, E.: Vorlesungen über die Theorie der algebraischen Zahlen. Leipzig: Akad. Verlagsges. 1954.

    Google Scholar 

  4. Hua, L. K.: Additive Primzahltheorie. Leipzig: B. G. Teubner 1959.

    Google Scholar 

  5. Hua, L. K.: On exponential sums over an algebraic number field. Canad. J. Math.3, 44–51 (1951).

    Google Scholar 

  6. Hua, L. K.: On a generalized Waring problem. Proc. London Math. Soc. (2)43, 161–182 (1937).

    Google Scholar 

  7. Hua, L. K.: On a generalized Waring problem II. J. Chinese Math. Soc.2, 175–191 (1940).

    Google Scholar 

  8. Hua, L. K.: Die Abschätzung von Exponentialsummen und ihre Anwendung in der Zahlentheorie. Enzykl. Math. Wiss. Bd. 12, Heft 13, Teil I (1959).

  9. Körner, O.: Über das Waringsche Problem in algebraischen Zahlkörpern. Math. Ann.144, 224–238 (1961).

    Google Scholar 

  10. Körner, O.: Erweiterter Goldbach-Vinogradovscher Satz in beliebigen algebraischen Zahlkörpern. Math. Ann.143, 344–378 (1961).

    Google Scholar 

  11. Mitsui, T.: On the Goldbach problem in an algebraic number field I, II. J. Math. Soc. Japan12, 290–372 (1960).

    Google Scholar 

  12. Siegel, C. L.: Additive Theorie der Zahlkörper I. Math. Ann.87, 1–35 (1922).

    Google Scholar 

  13. Siegel, C. L.: Generalization of Waring's problem to algebraic number fields. Am. J. Math.66, 122–136 (1944).

    Google Scholar 

  14. Siegel, C. L.: Sums ofm th powers of algebraic integers. Ann. Math.46, 313–339 (1945).

    Google Scholar 

  15. Tatuzawa, T.: On the Waring problem in an algebraic number field. J. Math. Soc. Japan10, 322–341 (1958).

    Google Scholar 

  16. Titchmarsh, E. C.: The theory of the Riemann-Zeta-Funktion. Oxford: Clarendon Press 1951.

    Google Scholar 

  17. Vinogradov, I.: The method of trigonometrical sums in the theory of numbers. London: Interscience publishers (o. J.).

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  1. Marburg

    Otto Körner

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  1. Otto Körner
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Körner, O. Über Mittelwerte trigonometrischer Summen und ihre Anwendung in algebraischen Zahlkörpern. Math. Ann. 147, 205–239 (1962). https://doi.org/10.1007/BF01470740

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