Yu-Chen Sun

collaborators

4 papers

math.CO2026

On the problem of large gcd for disjoint residue classes

Jan Fornal, Yu-Chen Sun

Consider $k$ pairwise disjoint residue classes $a_{i} (mod m_{i})$ . We prove that \[ \max_{1\leq i<j\leq k}\gcd(m_i,m_j) \gg k\exp\!\left(-(2+o(1)) \sqrt{\frac{\log k}{\log\log k}}\ri…

math.CA2026

A Variation Norm Carleson Theorem Along the Primes

Anastasios Fragkos, Ben Krause, Nazar Miheisi +1

Let $Λ$ denote the von Mangoldt function; we prove that for each $r > 2$ , there exist constants \[ r' < \mathbf{c}(r) < 2 < \mathbf{C}(r), \qquad \lim_{r \to \infty} \mathbf{c}(r)…

math.DS2026

The Wiener Wintner Theorem Along the Primes

Jan Fornal, Anastasios Fragkos, Ben Krause +3

We prove the following Wiener-Wintner Theorem along the sequence of prime times, the first extension of the Wiener-Wintner Theorem to arithmetic sequences: for every probability sp…

math.NT2024

Roth-type Theorem for high-power system in Piatetski-Shapiro primes (II)

Xiumin Ren, Yu-chen Sun, Qingqing Zhang +1

We consider the nonlinear system $c_{1} p_{1}^{d} + c_{2} p_{2}^{d} + \dots + c_{s} p_{s}^{d} = 0$ with $c_{1}, c_{2}, \dots, c_{s} \in Z$ being nonzero and satisfying $c_{1} + c_{2} + \dots + c_{s} = 0$ . We s…