Further examples of maximal curves

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A note on superspecial and maximal curves

In this note we review a simple criterion, due to Ekedahl, for superspecial curves defined over finite fields.Using this we generalize and give some simple proofs for some well-known superspecial curves.

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Further Examples with Moments of Gamma Type

Example A.1 (Rayleigh distribution). The Rayleigh distribution R is the chi distribution χ(2), with density xe−x 2/2. This is a special case of Example 3.6, and we have ER = 2Γ(s/2 + 1), −2 < Re s <∞. (A.1) We have ρ+ =∞, ρ− = −2, γ = γ′ = 1/2, δ = 1/2, κ = 0, C1 = π1/2. Example A.2 (Maxwell distribution). The Maxwell distribution M is the chi distribution χ(3), with density (2/π)1/2x2e−x 2/2. ...

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c W W L Chen, 1991, 1993, 2013. This chapter is available free to all individuals, on the understanding that it is not to be used for financial gain, and may be downloaded and/or photocopied, with or without permission from the author. However, this document may not be kept on any information storage and retrieval system without permission from the author, unless such system is not accessible t...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2009

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2008.11.037