On the p-adic Waring's problem
José Felipe Voloch
Acta Arithmetica, Tome 89 (1999), p. 91-95 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207317 
@article{bwmeta1.element.bwnjournal-article-aav90i1p91bwm,
     author = {Jos\'e Felipe Voloch},
     title = {On the p-adic Waring's problem},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {91-95},
     zbl = {0932.11074},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav90i1p91bwm}
}

José Felipe Voloch. On the p-adic Waring's problem. Acta Arithmetica, Tome 89 (1999) pp. 91-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav90i1p91bwm/

[000] [Be] N. Benschop, Powersums representing residues mod pk, from Fermat to Waring, preprint, available at http://www.IAE.nl/users/benschop/. | Zbl 1013.11002

[001] [B] J. D. Bovey, A note on Waring's problem in p-adic fields, Acta Arith. 29 (1976), 343-351. | Zbl 0336.10014

[002] [GV] A. Garcia and J. F. Voloch, Fermat curves over finite fields, J. Number Theory 30 (1988), 345-356. | Zbl 0671.14012

[003] [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.

[004] [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.

[005] [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.

[006] [TV] J. Tate and J. F. Voloch, Linear forms in p-adic roots of unity, Internat. Math. Res. Notices 12 (1996), 589-601. | Zbl 0893.11015