We prove that 45 is the size of the largest caps in AG(5, 3), and such a 45-cap is always obtained from the 56-cap in PG(5, 3) by deleting an 11-hyperplane.
Yves Edel, Sandy Ferret, Ivan N. Landjev, Leo Stor...
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 ...
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...