# Sums of fifth powers and related topics

Koichi Kawada; Trevor D. Wooley

Acta Arithmetica (1998)

- Volume: 87, Issue: 1, page 27-65
- ISSN: 0065-1036

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top## How to cite

topKoichi Kawada, and Trevor D. Wooley. "Sums of fifth powers and related topics." Acta Arithmetica 87.1 (1998): 27-65. <http://eudml.org/doc/207204>.

@article{KoichiKawada1998,

author = {Koichi Kawada, Trevor D. Wooley},

journal = {Acta Arithmetica},

keywords = {sums of fifth powers; quintic polynomials; Waring's problem; Waring problem; Hardy-Littlewood method; quintic polynomial with rational coefficients},

language = {eng},

number = {1},

pages = {27-65},

title = {Sums of fifth powers and related topics},

url = {http://eudml.org/doc/207204},

volume = {87},

year = {1998},

}

TY - JOUR

AU - Koichi Kawada

AU - Trevor D. Wooley

TI - Sums of fifth powers and related topics

JO - Acta Arithmetica

PY - 1998

VL - 87

IS - 1

SP - 27

EP - 65

LA - eng

KW - sums of fifth powers; quintic polynomials; Waring's problem; Waring problem; Hardy-Littlewood method; quintic polynomial with rational coefficients

UR - http://eudml.org/doc/207204

ER -

## References

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- [2] T. Estermann, Einige Sätze über quadratfrei Zahlen, Math. Ann. 105 (1931), 653-662. Zbl57.0222.02
- [3] L.-K. Hua, On a generalized Waring problem. II, J. Chinese Math. Soc. 2 (1940), 175-191. Zbl0061.07404
- [4] K. Kawada and T. D. Wooley, Sums of fourth powers and related topics, J. Reine Angew. Math., to appear. Zbl1005.11046
- [5] W. M. Schmidt, Equations over Finite Fields. An Elementary Approach, Lecture Notes in Math. 536, Springer, Berlin, 1976. Zbl0329.12001
- [6] K. Thanigasalam, Improvement on Davenport's iterative method and new results in additive number theory. III, Acta Arith. 48 (1987), 97-116.
- [7] R. C. Vaughan, On Waring's problem for smaller exponents, Proc. London Math. Soc. (3) 52 (1986), 445-463. Zbl0601.10035
- [8] R. C. Vaughan, A new iterative method in Waring's Problem, Acta Math. 162 (1989), 1-71. Zbl0665.10033
- [9] R. C. Vaughan, The Hardy-Littlewood Method, 2nd ed., Cambridge Univ. Press, 1997. Zbl0868.11046
- [10] R. C. Vaughan and T. D. Wooley, On Waring's Problem: some refinements, Proc. London Math. Soc. (3) 63 (1991), 35-68. Zbl0736.11058
- [11] R. C. Vaughan and T. D. Wooley, Further improvements in Waring's Problem, Acta Math. 174 (1995), 147-240. Zbl0849.11075
- [12] T. D. Wooley, Large improvements in Waring's problem, Ann. of Math. 135 (1992), 131-164. Zbl0754.11026
- [13] H. B. Yu, On Waring's problem with polynomial summands, Acta Arith. 76 (1996), 131-144. Zbl0847.11053

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