Archiv der Mathematik

, Volume 17, Issue 6, pp 497–504 | Cite as

Sums ofmth powers in algebraic and abelian number fields

  • M. Bhaskaran
Article

Keywords

Number Field Abelian Number Field 

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References

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    P. T. Bateman andR. M. Stemmler, Waring's problem for algebraic number fields and primes of the form (p r−1)/(p d−1). Illinois J. Math.6, 142–156 (1962).Google Scholar
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    B. J. Birch, Waring's problem forp-adic number fields. Acta Arith.9, 169–176 (1964).Google Scholar
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    C. P. Ramanujam, Sums ofm th powers inp-adic rings. Mathematika10, 137–146 (1963).Google Scholar
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    C. L. Siegel, Generalization of Waring's problem to the algebraic number fields. Amer. J. Math.66, 122–136 (1944).Google Scholar
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    C. L. Siegel, Sums ofm th powers of algebraic integers. Ann. of Math., II. Ser.46, 313–319 (1945).Google Scholar
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    R. M. Stemmler, The easier Waring problem in algebraic number fields. Acta Arith.6, 447–468 (1961).Google Scholar
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    L. Tornheim, Sums ofn th powers in fields of prime characteristic. Duke Math. J.4, 359–362 (1938).Google Scholar
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    H.Weyl, Algebraic theory of numbers. Princeton 1940.Google Scholar

Copyright information

© Birkhäuser-Verlag 1966

Authors and Affiliations

  • M. Bhaskaran
    • 1
  1. 1.Ramanujan Institute of MathematicsMadras-5India

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