An ideal Waring problem with restricted summands

Michael A. Bennett

Acta Arithmetica (1994)

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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.