# A reduction technique in Waring's problem, I

Acta Arithmetica (1993)

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

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top## How to cite

topKent 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

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

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