Combinatorially fruitful properties of 3⋅2−1 and 3⋅2−2 modulo p
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چکیده
منابع مشابه
Borsuk's Conjecture Fails in Dimensions 321 and 322
n0 = min{n ∈ N | f(n) > n + 1}, then the proof of Kahn and Kalai gives n0 ≤ 1325. On the other hand we know only that n0 ≥ 4 (Perkal [7]; Eggleston [3]). It is of interest where n0 lies. The upper bound on n0 was improved to n0 ≤ 946 (Nilli [6]), n0 ≤ 561 (Raigorodski [8]), n0 ≤ 560 (Weißbach [9]), and n0 ≤ 323 (Hinrichs [4]). In fact, we know that f(n) > n + 1 for all n ≥ 323. Here we show tha...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2010
ISSN: 0012-365X
DOI: 10.1016/j.disc.2008.09.046