@article{bwmeta1.element.bwnjournal-article-aav66i2p101bwm, author = {Fran\c cois Hennecart}, title = {Propri\'et\'es additives des suites et de leurs carr\'es}, journal = {Acta Arithmetica}, volume = {68}, year = {1994}, pages = {101-123}, language = {fr}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav66i2p101bwm} }
François Hennecart. Propriétés additives des suites et de leurs carrés. Acta Arithmetica, Tome 68 (1994) pp. 101-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav66i2p101bwm/
[000] [1] R. Ayoub, An Introduction to the Analytic Theory of Numbers, Amer. Math. Soc., Providence, 1963. | Zbl 0128.04303
[001] [2] H. Davenport, Analytic Methods for Diophantine Equations and Diophantine Inequalities, Ann Arbor, 1962.
[002] [3] J.-M. Deshouillers, P. Erdős and A. Sárközy, On additive bases, Acta Arith. 30 (1976), 121-132.
[003] [4] J.-M. Deshouillers and É. Fouvry, On additive bases (II), J. London Math. Soc. (2) 14 (1976), 413-422.
[004] [5] P. Erdős, Some results on additive number theory, Proc. Amer. Math. Soc. 5 (1954), 847-853. | Zbl 0056.27001
[005] [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.
[006] [7] T. Estermann, On Kloosterman's sums, Mathematika 8 (1961), 83-86. | Zbl 0114.26302
[007] [8] D. R. Heath-Brown, Cubic forms in ten variables, Proc. London Math. Soc. (3) 47 (1983), 225-257. | Zbl 0494.10012
[008] [9] C. Hooley, On nonary cubic forms, J. Reine Angew. Math. 386 (1988), 32-98. | Zbl 0641.10019
[009] [10] C. Hooley, On Waring's problem, Acta Math. 157 (1986), 49-97. | Zbl 0614.10038
[010] [11] H. D. Kloosterman, On the representation of a number in the form ax²+by²+cz²+dt², Acta Math. 49 (1926), 407-464. | Zbl 53.0155.01
[011] [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.
[012] [13] I. Z. Ruzsa, On a probabilistic method in additive number theory, Publ. Math. Orsay, 1989, 71-92. | Zbl 0672.10037
[013] [14] E. C. Titchmarsh, The Theory of the Riemann Zeta-function, Oxford Univ. Press, 1951. | Zbl 0042.07901
[014] [15] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Univ. Press, 1981. | Zbl 0455.10034
[015] [16] E. Wirsing, Thin subbases, Analysis 6 (1986), 285-308.
[016] [17] J. Zöllner, Über eine Vermutung von Choi, Erdős und Nathanson, Acta Arith. 45 (1985), 211-213.