A. Swaminathan

activity

20132026

most citedSurjectivity of Galois Representations in Rational Families of Abelian Varieties

16 citations · 48 across the 25 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015★ 2 cited

Elliptic Curve Variants of the Least Quadratic Nonresidue Problem and Linnik's Theorem

Evan Chen, Peter S. Park, Ashvin Swaminathan

Let $E_{1}$ and $E_{2}$ be $Q$ -nonisogenous, semistable elliptic curves over $Q$ , having respective conductors $N_{E_{1}}$ and $N_{E_{2}}$ and both without com…

math.NT2015★ 1 cited

On Logarithmically Benford Sequences

Evan Chen, Peter S. Park, Ashvin Swaminathan

Let $I \subset N$ be an infinite subset, and let ${a_{i}}_{i \in I}$ be a sequence of nonzero real numbers indexed by $I$ such that there exi…

math.NT2015

Linnik's Theorem for Sato-Tate Laws on Elliptic Curves with Complex Multiplication

Evan Chen, Peter S. Park, Ashvin Swaminathan

Let $E / Q$ be an elliptic curve with complex multiplication (CM), and for each prime $p$ of good reduction, let $a_{E} (p) = p + 1 - # E (F_{p})$ denote the trace of Fro…