Guang-Liang Zhou

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math.NT2026

Large values of the Hurwitz zeta function with rational parameter

Qiyu Yang, Shengbo Zhao, Guang-Liang Zhou

In this paper, we establish lower bounds for large values of the Hurwitz zeta function with rational parameter when the real part $σ \in [1/2, 1]$ . These results improve the earlier…

math.NT2026

Representations of positive integers by three almost-prime squares

Yue-Feng She, Yu-Chen Sun, Guang-Liang Zhou

Let $P_{r}$ denote an integer with at most $r$ prime factors, counted with multiplicity. It is known that every sufficiently large integer $N$ satisfying $N \equiv 3 (mod 24)$ and $…