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On the Number of Cyclic Projective Planes

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Abstract:

An explicit formula for the number of finite cyclic projective planes (or planar 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. Copyright 1998 Academic Press.

Document Type: Research Article

Affiliations: Department of Mathematics, University of Nebraska at Omaha, Omaha, Nebraska, 68182

Publication date: January 1, 1998

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