Peter S Park

activity

20152018

most citedThe van der Waerden complex

3 citations · 6 across the 5 of their papers we have counts for

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5 papers · 1 filter

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.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…