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math.NT2012
Pointless Hyperelliptic Curves
Ryan Becker, Darren Glass
In this paper we consider the question of whether there exists a hyperelliptic curve of genus which is defined over $\FF_q$ but has no rational points over $\FF_q$ for various…
math.NT2012
Compositions of Integers With Bounded Parts
Darren Glass
In this note, we consider ordered partitions of integers such that each entry is no more than a fixed portion of the sum. We give a method for constructing all such compositions as…