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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Koichi 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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  1. [1] J. Brüdern, On Waring's problem for fifth powers and some related topics, Proc. London Math. Soc. (3) 61 (1990), 457-479. Zbl0677.10036
  2. [2] T. Estermann, Einige Sätze über quadratfrei Zahlen, Math. Ann. 105 (1931), 653-662. Zbl57.0222.02
  3. [3] L.-K. Hua, On a generalized Waring problem. II, J. Chinese Math. Soc. 2 (1940), 175-191. Zbl0061.07404
  4. [4] K. Kawada and T. D. Wooley, Sums of fourth powers and related topics, J. Reine Angew. Math., to appear. Zbl1005.11046
  5. [5] W. M. Schmidt, Equations over Finite Fields. An Elementary Approach, Lecture Notes in Math. 536, Springer, Berlin, 1976. Zbl0329.12001
  6. [6] K. Thanigasalam, Improvement on Davenport's iterative method and new results in additive number theory. III, Acta Arith. 48 (1987), 97-116. 
  7. [7] R. C. Vaughan, On Waring's problem for smaller exponents, Proc. London Math. Soc. (3) 52 (1986), 445-463. Zbl0601.10035
  8. [8] R. C. Vaughan, A new iterative method in Waring's Problem, Acta Math. 162 (1989), 1-71. Zbl0665.10033
  9. [9] R. C. Vaughan, The Hardy-Littlewood Method, 2nd ed., Cambridge Univ. Press, 1997. Zbl0868.11046
  10. [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. [11] R. C. Vaughan and T. D. Wooley, Further improvements in Waring's Problem, Acta Math. 174 (1995), 147-240. Zbl0849.11075
  12. [12] T. D. Wooley, Large improvements in Waring's problem, Ann. of Math. 135 (1992), 131-164. Zbl0754.11026
  13. [13] H. B. Yu, On Waring's problem with polynomial summands, Acta Arith. 76 (1996), 131-144. Zbl0847.11053

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