H. Gou

collaborators

2 papers

math.NT2026

Extremal Problems for GCDs and LCMs in Higher Dimensions

Haozhe Gou

We study extremal problems for tuples of integers chosen from sets $A_{i} \subset [X_{i}, 2 X_{i}]$ for $1 \leq i \leq k$ , under large GCD and small LCM conditions. For the GCD problem, we ext…

math.NT2024

On the Second Moment of Twisted Higher Degree $L$ -functions

Haozhe Gou, Liangxun Li

Assuming the Ramanujan conjecture, the zero density estimate and some subconvexity type bound, we describe a general method to obtain the log-saving upper bound for the second mome…

Extremal Problems for GCDs and LCMs in Higher Dimensions

On the Second Moment of Twisted Higher Degree L-functions

On the Second Moment of Twisted Higher Degree $L$ -functions