Structure theorem for multiple addition and the Frobenius problem

Journal of Number Theory

Volumn 58, Issue 1, 1996, Pages 79-88

  Lev, Vsevolod F ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030138344     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1996.0065     Document Type: Article

References (7)

1. 1. P. ERDOS AND R. L. GRAHAM, On a linear diophantine problem of Frobenius, Acta Arithmetica XXI (1972), 399-408.
2. 2. G. A. FREIMAN, "Foundations of a Structural Theory of Set Addition," Kazan. Gos. Ped. Inst., Kazan, 1966 [in Russian]; also Translations of Math. Monographs, Vol. 37, American Math. Soc., Providence, RI, 1973.
3. 3. G. A. FREIMAN, "Sumsets and Powers of 2," Colloq. Math. Soc. János Bolyai, Vol. 60, North-Holland, Amsterdam, 1992.
4. 4. M. KNESER, Abschätzung der asymptotischen Dichte von Summenmengen, Math. Z. 58 (1953), 459-484.
5. 5. M. KNESER, Ein Satz über abelschen Gruppen mit Anwendungen auf die Geometrie der Zahlen, Math. Z. 61 (1955), 429-434.
6. 6. V. F. LEV, On the extremal aspect of the Frobenius' problem, J. Combin. Theory, Ser. A 73 (1) (1996), 111-119.
7. 7. V. F. LEV AND P. Y. SMELIANSKY, On addition of two distinct sets of integers, Acta Arithmetica LXX.1 (1995), 85-91.