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

Acta Arithmetica (2000)

- Volume: 92, Issue: 2, page 99-104
- ISSN: 0065-1036

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topNorbert Hegyvári. "On the representation of integers as sums of distinct terms from a fixed set." Acta Arithmetica 92.2 (2000): 99-104. <http://eudml.org/doc/207381>.

@article{NorbertHegyvári2000,

author = {Norbert Hegyvári},

journal = {Acta Arithmetica},

keywords = {subcomplete sequence; additive representations; subset sum; infinite arithmetic progression},

language = {eng},

number = {2},

pages = {99-104},

title = {On the representation of integers as sums of distinct terms from a fixed set},

url = {http://eudml.org/doc/207381},

volume = {92},

year = {2000},

}

TY - JOUR

AU - Norbert Hegyvári

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

JO - Acta Arithmetica

PY - 2000

VL - 92

IS - 2

SP - 99

EP - 104

LA - eng

KW - subcomplete sequence; additive representations; subset sum; infinite arithmetic progression

UR - http://eudml.org/doc/207381

ER -

## References

top- [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. Zbl0217.32102
- [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. Zbl0106.03805
- [3] P. Erdős and R. L. Graham, On a linear diophantine problem of Frobenius, ibid. 21 (1972), 399-408. Zbl0246.10010
- [4] J. Folkman, On the representation of integers as sums of distinct terms from a fixed sequence, Canad. J. Math. 18 (1966), 643-655. Zbl0151.03703
- [5] G. Freiman, New analytical results in subset-sum problem, Discrete Math. 114 (1993), 205-218. Zbl0849.11015
- [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. Zbl0808.11011

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