Waring’s problem for sixteen biquadrates-numerical results

Journal de Theorie des Nombres de Bordeaux

Volumn 12, Issue 2, 2000, Pages 411-422

  Deshouillers, Jean Marc ^a,b   Hennecart, François ^a   Landreau, Bernard ^a  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009836779     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.287     Document Type: Article

References (8)

1. H. DAVENPORT, On Waring’s problem for fourth powers. Ann. of Math. 40 (1939), 731-747.
2. L.E. DICKSON, Recent progress on Waring’s theorem and its generalizations. Bull. Amer. Math. Soc. 39 (1933), 701-727.
3. J-M. DESHOUILLERS, Problème de Waring pour les bicarrés : le point en 1984. Sém. Théor. Analyt. Nbres Paris, 1984-1985, exp. 33.
4. J-M. DESHOUILLERS, F. DRESS, Numerical results for sums of five and seven biquadrates and consequences for sums of 19 biquadrates. Math. Comp. 61, 203 (1993), 195-207.
5. J-M. DESHOUILLERS, F. HENNECART, B. LANDREAU, 7 373 170 279 850. Math. Comp. 69 (2000), 421-439.
6. A. KEMPNER, Bemerkungen zum Waringschen Problem. Math. Ann. 72 (1912), 387-399.
7. H.E. THOMAS, A numerical approach to Waring’s problem for fourth powers. Ph.D., The University of Michigan, 1973.
8. H.E. THOMAS, Waring’s problem for twenty-two biquadrates. Trans. Amer. Math. Soc. 193 (1974), 427-430.