On the representation of integers as sums of distinct terms from a fixed set

• Autorzy: Norbert Hegyvári
• Języki publikacji: EN

Słowa kluczowe

EN

subcomplete sequence; additive representations

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 11A67: Other representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 2
• Strony: 99-104

Daty

wydano

2000

otrzymano

1996-04-02

poprawiono

1999-05-21

Twórcy

autor

Norbert Hegyvári

• ELTE TFK, Eötvös University, Markó u. 29, H-1055 Budapest, Hungary

Bibliografia

• [1] J. W. S. Cassels, On the representation of integers as sums of distinct summands taken from a fixed set, Acta Sci. Math. (Szeged) 21 (1960), 111-124.
• [2] P. Erdős, On the representation of large integers as sums of distinct summands taken from a fixed set, Acta Arith. 7 (1962), 345-354.
• [3] P. Erdős and R. L. Graham, On a linear diophantine problem of Frobenius, ibid. 21 (1972), 399-408.
• [4] J. Folkman, On the representation of integers as sums of distinct terms from a fixed sequence, Canad. J. Math. 18 (1966), 643-655.
• [5] G. Freiman, New analytical results in subset-sum problem, Discrete Math. 114 (1993), 205-218.
• [6] R. L. Graham, Complete sequences of polynomial values, Duke Math. J. 31 (1964), 275-286.
• [7] A. Sárközy, Finite addition theorems II, J. Number Theory 48 (1994), 197-218.