An explicit formula for the number of finite cyclic projective planes or planar . Ž . difference sets is derived by applying Ramanujan sums Von Sterneck numbers and Mobius inversion over the set partition lattice to counting one-to-one solution vectors of multivariable linear congruences.
On the number of halving planes
✍ Scribed by I. Bárány; Z. Füredi; L. Lovász
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 411 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0209-9683
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In one of his papers [2], A. Neumaier constructed a rank 4 incidence geometry on which the alternating group of degree 8 acts flag-transitively. This geometry is quite important since its point residue is the famous A 7 -geometry which is known to be the only flag-transitive locally classical C 3 -g
## Abstract In this paper, we estimate an upper bound of the number of the cusps of a cuspidal plane curve. We prove that a cuspidal plane curve of genus __g__ has no more than (21__g__ +17)/2 cusps. For example, a rational cuspidal plane curve has no more than 8 cusps and an elliptic one has no mo