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math.NT2003
Moments of the rank of elliptic curves
Siman Wong
Fix an elliptic curve $E/\Q$, and assume the generalized Riemann hypothesis for the -function for every quadratic twist of by . We combine Weil's…
math.NT2003
Fiber products of hyperelliptic curves
Siman Wong
Let be a number field, and let be a finite set of maximal ideals of the ring of integers of . In his 1962 ICM address, Shafarevich asked if there are only finitely many…