Independence of solution sets and minimal asymptotic bases

• Autorzy: Paul Erdős , Melvyn B. Nathanson , Prasad Tetali
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 69
• Numer: 3
• Strony: 243-258

Daty

wydano

1995

otrzymano

1993-11-15

Twórcy

autor

Paul Erdős

• Mathematical Institute, Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053 Budapest, Hungary

autor

Melvyn B. Nathanson

• Department of Mathematics, Lehman College (CUNY), Bronx, New York 10468, U.S.A.

autor

Prasad Tetali

• AT&T Bell Laboratories, Murray Hill, New Jersey 07974, U.S.A.

Bibliografia

• [1] P. Erdős and M. B. Nathanson, Oscillations of bases for the natural numbers, Proc. Amer. Math. Soc. 53 (1975), 253-258.
• [2] P. Erdős and M. B. Nathanson, Independence of solution sets in additive number theory, in: Probability, Statistical Mechanics, and Number Theory, G.-C. Rota (ed.), Adv. Math. Suppl. Stud. 9 (1986), 97-105.
• [3] P. Erdős and M. B. Nathanson, Systems of distinct representatives and minimal bases in additive number theory, in: Number Theory, Carbondale 1979, M. B. Nathanson (ed.), Lecture Notes in Math. 751, Springer, Heidelberg, 1979, 89-107.
• [4] P. Erdős and M. B. Nathanson, Problems and results on minimal bases in additive number theory, in: Number Theory, New York 1985-86, D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn, and M. B. Nathanson (eds.), Lecture Notes in Math. 1240, Springer, Heidelberg, 1987, 87-96.
• [5] P. Erdős and R. Rado, Intersection theorems for systems of sets, J. London Math. Soc. 35 (1960), 85-90.
• [6] P. Erdős and A. Rényi, Additive properties of random sequences of positive integers, Acta Arith. 6 (1960), 83-110.
• [7] P. Erdős and P. Tetali, Representations of integers as the sum of k terms, Random Structures and Algorithms 1 (1990), 245-261.
• [8] H. Halberstam and K. F. Roth, Sequences, Springer, Heidelberg, 1983.
• [9] X.-D. Jia, Simultaneous systems of representatives for finite families of finite sets, Proc. Amer. Math. Soc. 104 (1988), 33-36.
• [10] M. B. Nathanson, Simultaneous systems of representatives for families of finite sets, Proc. Amer. Math. Soc. 103 (1988), 1322-1326.