Siman Wong

activity

20012012

most citedSpecializations of one-parameter families of polynomials

1 citations · 1 across the 7 of their papers we have counts for

collaborators

8 papers

math.NT2012

Quadratic fields with cyclic 2-class groups

Carlos Dominguez, Steven J. Miller, Siman Wong

For any integer $k \geq 1$ , we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order $2^{k}$ . The proof combines the circle method with…

math.NT2006

Quadratic twists of pairs of elliptic curves

Siman Wong

Given two elliptic curves defined over a number field K, not both with j-invariant zero, we show that there are infinitely many $D \in K^{\times}$ with pairwise distinct image in $ K^…

math.NT2005

On torsion sections of elliptic fibrations

Siman Wong

Let E be an elliptic curve over the function field Q(t). Suppose that for every number field L\not=Q and every element tau\in L such that the specialization E_tau is smooth, the cu…

math.NT2004★ 1 cited

Specializations of one-parameter families of polynomials

Farshid Hajir, Siman Wong

Let K be a number field, and let lambda(x,t)\in K[x, t] be irreducible over K(t). Using algebraic geometry and group theory, we study the set of alpha\in K for which the specialize…

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 $L$ -function $L (E_{D}, s)$ for every quadratic twist $E_{D}$ of $E$ by $D \in Z$ . We combine Weil's…

math.NT2003

Fiber products of hyperelliptic curves

Siman Wong

Let $k$ be a number field, and let $S$ be a finite set of maximal ideals of the ring of integers of $k$ . In his 1962 ICM address, Shafarevich asked if there are only finitely many…