Propriétés additives des suites et de leurs carrés

François Hennecart

Acta Arithmetica (1994)

  • Volume: 66, Issue: 2, page 101-123
  • ISSN: 0065-1036

How to cite

top

François Hennecart. "Propriétés additives des suites et de leurs carrés." Acta Arithmetica 66.2 (1994): 101-123. <http://eudml.org/doc/206595>.

@article{FrançoisHennecart1994,
author = {François Hennecart},
journal = {Acta Arithmetica},
keywords = {additive bases; square of a basis; square of a nonbasis; basis of order 2; nonbasis; circle method},
language = {fre},
number = {2},
pages = {101-123},
title = {Propriétés additives des suites et de leurs carrés},
url = {http://eudml.org/doc/206595},
volume = {66},
year = {1994},
}

TY - JOUR
AU - François Hennecart
TI - Propriétés additives des suites et de leurs carrés
JO - Acta Arithmetica
PY - 1994
VL - 66
IS - 2
SP - 101
EP - 123
LA - fre
KW - additive bases; square of a basis; square of a nonbasis; basis of order 2; nonbasis; circle method
UR - http://eudml.org/doc/206595
ER -

References

top
  1. [1] R. Ayoub, An Introduction to the Analytic Theory of Numbers, Amer. Math. Soc., Providence, 1963. Zbl0128.04303
  2. [2] H. Davenport, Analytic Methods for Diophantine Equations and Diophantine Inequalities, Ann Arbor, 1962. 
  3. [3] J.-M. Deshouillers, P. Erdős and A. Sárközy, On additive bases, Acta Arith. 30 (1976), 121-132. 
  4. [4] J.-M. Deshouillers and É. Fouvry, On additive bases (II), J. London Math. Soc. (2) 14 (1976), 413-422. 
  5. [5] P. Erdős, Some results on additive number theory, Proc. Amer. Math. Soc. 5 (1954), 847-853. Zbl0056.27001
  6. [6] P. Erdős and M. B. Nathanson, Lagrange's theorem and thin subsequences of squares, dans : Contributions to Probability, J. Gani et V. K. Rohatgi (eds.), Academic Press, New York, 1981, 3-9. 
  7. [7] T. Estermann, On Kloosterman's sums, Mathematika 8 (1961), 83-86. Zbl0114.26302
  8. [8] D. R. Heath-Brown, Cubic forms in ten variables, Proc. London Math. Soc. (3) 47 (1983), 225-257. Zbl0494.10012
  9. [9] C. Hooley, On nonary cubic forms, J. Reine Angew. Math. 386 (1988), 32-98. Zbl0641.10019
  10. [10] C. Hooley, On Waring's problem, Acta Math. 157 (1986), 49-97. Zbl0614.10038
  11. [11] H. D. Kloosterman, On the representation of a number in the form ax²+by²+cz²+dt², Acta Math. 49 (1926), 407-464. Zbl53.0155.01
  12. [12] M. B. Nathanson, Waring's problem for sets of density zero, dans : Number Theory, Philadelphia, 1980, M. I. Knopp (ed.), Lecture Notes in Math. 899, Springer, Heidelberg, 1981, 301-310. 
  13. [13] I. Z. Ruzsa, On a probabilistic method in additive number theory, Publ. Math. Orsay, 1989, 71-92. Zbl0672.10037
  14. [14] E. C. Titchmarsh, The Theory of the Riemann Zeta-function, Oxford Univ. Press, 1951. Zbl0042.07901
  15. [15] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Univ. Press, 1981. Zbl0455.10034
  16. [16] E. Wirsing, Thin subbases, Analysis 6 (1986), 285-308. 
  17. [17] J. Zöllner, Über eine Vermutung von Choi, Erdős und Nathanson, Acta Arith. 45 (1985), 211-213. 

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.