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JCT
2010
14 years 8 months ago
2010
We find the winning strategy for a class of truncation games played on words. As a consequence of the present author’s recent results on some of these games we obtain new formul...
JCT
2002
14 years 9 months ago
2002
In [2] a construction of a class of two-intersection sets with respect to hyperplanes in PG(r - 1, qt ), rt even, is given, with the same parameters as the union of (qt/2 - 1)/(q ...
JCT
2002
14 years 9 months ago
2002
In partition theory and q-series, one often seeks identities between series and infinite products. Using a recent result of Zagier, we obtain such identities for every positive int...
JCT
2002
14 years 9 months ago
2002
Suppose we toss an independent coin with probability of success p for each subset of [n] = {1, . . . , n}, and form the random hypergraph P(n, p) by taking as hyperedges the subse...
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JCT
2002
14 years 9 months ago
2002
We present a result which is obtained by combining a result of Carlson with the Finitary Dual Ramsey Theorem of Graham-Rothschild. We start by introducing some notation. We confor...