Tian Wang

collaborators

3 papers

math.NT2025

Effective open image theorem and a Linnik type problem for elliptic curves

Tian Wang, Zhining Wei

We study an effective open image theorem for families of elliptic curves and products of elliptic curves ordered by conductor. Unconditionally, we prove that for $100%$ of pairs o…

math.NT2025

Ordinary primes for $GL_{2}$ -type abelian varieties and weight $2$ modular forms

Tian Wang, Pengcheng Zhang

Let $A$ be a $g$ -dimensional abelian variety defined over a number field $F$ . It is conjectured that the set of ordinary primes of $A$ over $F$ has positive density, and this is kn…

math.NT2024

Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves

Sung Min Lee, Jacob Mayle, Tian Wang

The cyclicity and Koblitz conjectures ask about the distribution of primes of cyclic and prime-order reduction, respectively, for elliptic curves over $Q$ . In 1976, Serre…

Effective open image theorem and a Linnik type problem for elliptic curves

Ordinary primes for GL2​-type abelian varieties and weight 2 modular forms

Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves

Ordinary primes for $GL_{2}$ -type abelian varieties and weight $2$ modular forms