Sums of fifth powers and related topics
Koichi Kawada ; Trevor D. Wooley
Acta Arithmetica, Tome 84 (1998), p. 27-65 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207204 
@article{bwmeta1.element.bwnjournal-article-aav87i1p27bwm,
     author = {Koichi Kawada and Trevor D. Wooley},
     title = {Sums of fifth powers and related topics},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {27-65},
     zbl = {0934.11046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav87i1p27bwm}
}

Koichi Kawada; Trevor D. Wooley. Sums of fifth powers and related topics. Acta Arithmetica, Tome 84 (1998) pp. 27-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav87i1p27bwm/

[000] [1] J. Brüdern, On Waring's problem for fifth powers and some related topics, Proc. London Math. Soc. (3) 61 (1990), 457-479. | Zbl 0677.10036

[001] [2] T. Estermann, Einige Sätze über quadratfrei Zahlen, Math. Ann. 105 (1931), 653-662. | Zbl 57.0222.02

[002] [3] L.-K. Hua, On a generalized Waring problem. II, J. Chinese Math. Soc. 2 (1940), 175-191. | Zbl 0061.07404

[003] [4] K. Kawada and T. D. Wooley, Sums of fourth powers and related topics, J. Reine Angew. Math., to appear. | Zbl 1005.11046

[004] [5] W. M. Schmidt, Equations over Finite Fields. An Elementary Approach, Lecture Notes in Math. 536, Springer, Berlin, 1976. | Zbl 0329.12001

[005] [6] K. Thanigasalam, Improvement on Davenport's iterative method and new results in additive number theory. III, Acta Arith. 48 (1987), 97-116.

[006] [7] R. C. Vaughan, On Waring's problem for smaller exponents, Proc. London Math. Soc. (3) 52 (1986), 445-463. | Zbl 0601.10035

[007] [8] R. C. Vaughan, A new iterative method in Waring's Problem, Acta Math. 162 (1989), 1-71. | Zbl 0665.10033

[008] [9] R. C. Vaughan, The Hardy-Littlewood Method, 2nd ed., Cambridge Univ. Press, 1997. | Zbl 0868.11046

[009] [10] R. C. Vaughan and T. D. Wooley, On Waring's Problem: some refinements, Proc. London Math. Soc. (3) 63 (1991), 35-68. | Zbl 0736.11058

[010] [11] R. C. Vaughan and T. D. Wooley, Further improvements in Waring's Problem, Acta Math. 174 (1995), 147-240. | Zbl 0849.11075

[011] [12] T. D. Wooley, Large improvements in Waring's problem, Ann. of Math. 135 (1992), 131-164. | Zbl 0754.11026

[012] [13] H. B. Yu, On Waring's problem with polynomial summands, Acta Arith. 76 (1996), 131-144. | Zbl 0847.11053