ISSN:
1572-9303
Keywords:
sums of sets of integers
;
sumsets
;
growth in semigraphs
;
additive number theory
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let A_1, ..., A_r be finite, nonempty sets of integers, and let h_1,..., h_r be positive integers. The linear formh_1A_1 + ··· + h_rA_r is the set of all integers of the form b_1 + ··· + b_r, where b_i is an integer that can be represented as the sum ofh_i elements of the set A_i. In this paper, the structure of the linear form h_1A_1 + ··· + h_rA_r is completely determined for all sufficiently large integersh_i .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009734613675
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