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An ideal Waring problem with restricted summands

Michael A. Bennett

Acta Arithmetica (1994)

  • Volume: 66, Issue: 2, page 125-132
  • ISSN: 0065-1036

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Michael A. Bennett. "An ideal Waring problem with restricted summands." Acta Arithmetica 66.2 (1994): 125-132. <http://eudml.org/doc/206596>.

@article{MichaelA1994,
author = {Michael A. Bennett},
journal = {Acta Arithmetica},
keywords = {additive basis; Waring's problem; Hardy-Littlewood-Vinogradov circle method},
language = {eng},
number = {2},
pages = {125-132},
title = {An ideal Waring problem with restricted summands},
url = {http://eudml.org/doc/206596},
volume = {66},
year = {1994},
}

TY - JOUR
AU - Michael A. Bennett
TI - An ideal Waring problem with restricted summands
JO - Acta Arithmetica
PY - 1994
VL - 66
IS - 2
SP - 125
EP - 132
LA - eng
KW - additive basis; Waring's problem; Hardy-Littlewood-Vinogradov circle method
UR - http://eudml.org/doc/206596
ER -

References

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  1. [1] A. Baker and J. Coates, Fractional parts of powers of rationals, Math. Proc. Cambridge Philos. Soc. 77 (1975), 269-279. Zbl0298.10018
  2. [2] M. Bennett, Fractional parts of powers and related topics, Ph.D. thesis, University of British Columbia, 1993. 
  3. [3] M. Bennett, Fractional parts of powers of rational numbers, Math. Proc. Cambridge Philos. Soc. 114 (1993), 191-201. 
  4. [4] F. Beukers, Fractional parts of powers of rationals, Math. Proc. Cambridge Philos. Soc. 90 (1981), 13-20. Zbl0466.10030
  5. [5] L. E. Dickson, Recent progress on Waring's theorem and its generalizations, Bull. Amer. Math. Soc. 39 (1933), 701-702. Zbl0008.00501
  6. [6] L. E. Dickson, Proof of the ideal Waring's theorem for exponents 7-180, Amer. J. Math. 58 (1936), 521-529. Zbl0014.25102
  7. [7] A. K. Dubitskas, A lower bound for the quantity ( 3 / 2 ) k , Russian Math. Surveys 45 (1990), 163-164. 
  8. [8] J. M. Kubina and M. C. Wunderlich, Extending Waring's conjecture to 471,600,000, Math. Comp. 55 (1990), 815-820. Zbl0725.11051
  9. [9] K. Mahler, On the fractional parts of the powers of a rational number: II, Mathematika 4 (1957), 122-124. Zbl0208.31002
  10. [10] G. J. Rieger, Über eine Verallgemeinerung des Waringschen Problems, Math. Z. 58 (1953), 281-283. Zbl0051.03203
  11. [11] I. M. Vinogradov, On Waring's problem, Ann. of Math. 36 (1935), 395-405 Zbl0012.19603

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