A reduction technique in Waring's problem, I

Kent D. Boklan

Acta Arithmetica (1993)

  • Volume: 65, Issue: 2, page 147-161
  • ISSN: 0065-1036

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Kent D. Boklan. "A reduction technique in Waring's problem, I." Acta Arithmetica 65.2 (1993): 147-161. <http://eudml.org/doc/206567>.

@article{KentD1993,
author = {Kent D. Boklan},
journal = {Acta Arithmetica},
keywords = {minor arc estimates; Hardy-Littlewood circle method; number of representations; sum of eight positive cubes; asymptotic formula; Waring- Goldbach problem for cubes},
language = {eng},
number = {2},
pages = {147-161},
title = {A reduction technique in Waring's problem, I},
url = {http://eudml.org/doc/206567},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Kent D. Boklan
TI - A reduction technique in Waring's problem, I
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 2
SP - 147
EP - 161
LA - eng
KW - minor arc estimates; Hardy-Littlewood circle method; number of representations; sum of eight positive cubes; asymptotic formula; Waring- Goldbach problem for cubes
UR - http://eudml.org/doc/206567
ER -

References

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  1. [1] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974. Zbl0298.10026
  2. [2] R. Hall and G. Tenenbaum, Divisors, Cambridge Univ. Press, London, 1988. 
  3. [3] C. Hooley, On the numbers that are representable as the sum of two cubes, J. Reine Angew. Math. 314 (1980), 146-173. 
  4. [4] K. F. Roth, On Waring's problem for cubes, Proc. London Math. Soc. (2) 53 (1951), 268-279. Zbl0043.27303
  5. [5] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Univ. Press, London, 1981. Zbl0455.10034
  6. [6] R. C. Vaughan, On Waring's problem for cubes, J. Reine Angew. Math. 365 (1986), 122-170. Zbl0574.10046
  7. [7] R. C. Vaughan, On Waring's problem for smaller exponents, II, Mathematika 33 (1986), 6-22. Zbl0601.10037
  8. [8] R. C. Vaughan, A new iterative method in Waring's problem, Acta Math. 162 (1989), 1-71. Zbl0665.10033

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