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ArticleOriginal scientific text

Title

On the p-adic Waring's problem

Authors 1

Affiliations

  1. Department of Mathematics, University of Texas, Austin, Texas 78712, U.S.A.

Bibliography

  1. [Be] N. Benschop, Powersums representing residues mod pk, from Fermat to Waring, preprint, available at http://www.IAE.nl/users/benschop/.
  2. [B] J. D. Bovey, A note on Waring's problem in p-adic fields, Acta Arith. 29 (1976), 343-351.
  3. [GV] A. Garcia and J. F. Voloch, Fermat curves over finite fields, J. Number Theory 30 (1988), 345-356.
  4. [HB] R. Heath-Brown, An estimate for Heilbronn's exponential sum, in: Analytic Number Theory, Vol. 2 (Allerton Park, Ill., 1995), Progr. Math. 139, Birkhäuser Boston, Boston, Mass., 1996, 451-463.
  5. [K] N. M. Katz, Number of points on singular complete intersections, appendix to: C. Hooley, On the number of points on a complete intersection over a finite field, J. Number Theory 38 (1991), 338-358.
  6. [M] D. A. Mit'kin, An estimate for the number of roots of some comparisons by the Stepanov method, Mat. Zametki 51 (1992), 52-58, 157 (in Russian); English transl.: Math. Notes 51 (1992), 565-570.
  7. [TV] J. Tate and J. F. Voloch, Linear forms in p-adic roots of unity, Internat. Math. Res. Notices 12 (1996), 589-601.
Acta Arithmetica
1999/90/1
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Pages:
91-95
Main language of publication
English
Received
1998-10-13
Published
1999
Exact and natural sciences