Title
Equal moments division of a set
Abstract
Let N-q*(m) be the minimal positive integer N, for which there exists a splitting of the set [0, N - 1] into q subsets, S-0, S-1, . . . , Sq-1, whose first m moments are equal. Similarly, let m(q)*(N) be the maximal positive integer m, such that there exists a splitting of [0, N - 1] into q subsets whose first m moments are equal. For q = 2, these functions were investigated by several authors, and the values of N-2* (m) and m(2)*(N) have been found for m <= 8 and N <= 167, respectively. In this paper, we deal with the problem for any prime q. We demonstrate our methods by finding m(3)*(N) for any N < 90 and N-3*(m) for m <= 6.
Year
DOI
Venue
2008
10.1090/S0025-5718-08-02072-3
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Littlewood polynomials,spectral-null code,antenna array
Prime (order theory),Integer,Combinatorics,Mathematical analysis,Antenna array,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
77
263
0025-5718
Citations 
PageRank 
References 
1
0.40
6
Authors
1
Name
Order
Citations
PageRank
Shahar Golan1575.72