Yu-Chen Sun

collaborators

3 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.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.CA2026

A Variation Norm Carleson Theorem Along the Primes

Anastasios Fragkos, Ben Krause, Nazar Miheisi +1

Let $I^$ 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)…