Zhuo Song

collaborators

2 papers

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…