Abstract | ||
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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 |
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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 |
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Shahar Golan | 1 | 57 | 5.72 |