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math.NT2004★ 1 cited
Fields of moduli of hyperelliptic curves
Bonnie Huggins
Let F be an algebraically closed field with char(F) not equal to 2, let F/K be a Galois extension, and let X be a hyperelliptic curve defined over F. Let ιbe the hyperelliptic invo…
math.NT2002
On the Oscillations of Multiplicative Functions Taking Values +/- 1
Ernie Croot
For completely multiplicative functions f(n) taking values 1 and -1, under certain conditions on f(n) we show that f(n) changes sign at least x exp(-7(log log x)sqrt(log x)) times…