On Waring's problem with polynomial summands
Hong Bing Yu
Acta Arithmetica, Tome 76 (1996), p. 131-144 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:206890 
@article{bwmeta1.element.bwnjournal-article-aav76i2p131bwm,
     author = {Hong Bing Yu},
     title = {On Waring's problem with polynomial summands},
     journal = {Acta Arithmetica},
     volume = {76},
     year = {1996},
     pages = {131-144},
     zbl = {0847.11053},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav76i2p131bwm}
}

Hong Bing Yu. On Waring's problem with polynomial summands. Acta Arithmetica, Tome 76 (1996) pp. 131-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav76i2p131bwm/

[000] [1] K. D. Boklan, The asymptotic formula in Waring's problem, Mathematika 41 (1994), 329-347. | Zbl 0815.11050

[001] [2] H. Davenport, On Waring's problem for cubes, Acta Math. 71 (1939), 123-143. | Zbl 0021.10601

[002] [3] H. Davenport, On sums of positive integral k-th powers, Amer. J. Math. 64 (1942), 189-198. | Zbl 0060.11908

[003] [4] D. R. Heath-Brown, Weyl's inequality, Hua's inequality, and the Waring's problem, J. London Math. Soc. (2) 38 (1988), 216-230. | Zbl 0619.10046

[004] [5] L. K. Hua, On Waring's problem with polynomial summands, Amer. J. Math. 58 (1936), 553-562. | Zbl 62.0148.02

[005] [6] L. K. Hua, On a generalized Waring problem, Proc. London Math. Soc. (2) 43 (1937), 161-182. | Zbl 63.0127.02

[006] [7] L. K. Hua, Some results on Waring's problem for smaller powers, C. R. Acad. Sci. URSS (2) 18 (1938), 527-528. | Zbl 64.0124.03

[007] [8] L. K. Hua, On a generalized Waring problem, II, J. Chin. Math. Soc. 2 (1940), 175-191. | Zbl 0061.07404

[008] [9] L. K. Hua, On a Waring's problem with cubic polynomial summands, J. Indian Math. Soc. 4 (1940), 127-135.

[009] [10] L. K. Hua, Die Abschätzung von Exponentialsummen und ihre anwendung in der Zahlentheorie, Enzyklopädie der Math. Wiss. Band I,2. Heft 13, Teil 1, Teubner, Leipzig, 1959.

[010] [11] V. I. Nechaev, Waring's problem for polynomials, Trudy Mat. Inst. Steklov 38 (1951), 190-243. | Zbl 0053.35904

[011] [12] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Univ. Press, 1981. | Zbl 0455.10034

[012] [13] R. C. Vaughan, On Waring's problem for cubes, J. Reine Angew. Math. 365 (1986), 122-170. | Zbl 0574.10046

[013] [14] R. C. Vaughan, On Waring's problem for smaller exponents, Proc. London Math. Soc. (3) 52 (1986), 445-463. | Zbl 0601.10035

[014] [15] R. C. Vaughan, On Waring's problem for smaller exponents, II, Mathematika 33 (1986), 6-22. | Zbl 0601.10037

[015] [16] R. C. Vaughan, A new iterative method in Waring's problem, Acta Math. 162 (1989), 1-70. | Zbl 0665.10033

[016] [17] R. C. Vaughan, The use in additive number theory of numbers without large prime factors, Philos. Trans. Roy. Soc. London Ser. A 345 (1993), 363-376. | Zbl 0849.11074

[017] [18] R. C. Vaughan and T. D. Wooley, On Waring's problem: some refinements, Proc. London Math. Soc. 63 (1991), 35-68. | Zbl 0736.11058