Peter S Park

activity

20152018

collaborators

7 papers

math.GT2018

Probability laws for the distribution of geometric lengths when sampling by a random walk in a Fuchsian fundamental group

Peter S. Park

Let $S = Γ\ H$ be a hyperbolic surface of finite topological type, such that the Fuchsian group $Γ \leq PSL_{2} (R)$ is non-elementary, and consi…

math.GR2018

Conjugacy growth of commutators

Peter S. Park

For the free group $F_{r}$ on $r > 1$ generators (respectively, the free product $G_{1} * G_{2}$ of two nontrivial finite groups $G_{1}$ and $G_{2}$ ), we obtain the asymptotic for the number o…

math.NT2016

The "Riemann Hypothesis" is True for Period Polynomials of Almost All Newforms

Yang P. Liu, Peter S. Park, Zhuo Qun Song

The period polynomial $r_{f} (z)$ for a weight $k \geq 3$ newform $f \in S_{k} (Γ_{0} (N), χ)$ is the generating function for special values of $L (s, f)$ . The functional equation for $L(s, f)…

math.NT2016

Bounded Gaps Between Products of Distinct Primes

Yang P. Liu, Peter S. Park, Zhuo Qun Song

Let $r \geq 2$ be an integer. We adapt the Maynard-Tao sieve to produce the asymptotically best-known bounded gaps between products of $r$ distinct primes. Our result applies to pos…

math.CO2016

The van der Waerden complex

Richard Ehrenborg, Likith Govindaiah, Peter S. Park +1

We introduce the van der Waerden complex $vdW (n, k)$ defined as the simplicial complex whose facets correspond to arithmetic progressions of length $k$ in the vertex set $\{1,…

math.NT2015

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…