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math.NT2026
Equal subset sums and close divisors
Jianfeng Hou, Hongbin Zhao
For , let be the supremum of the exponents for which almost every integer has distinct divisors in a multiplicative interval of relative length $(\log n)^…
math.NT2026
Simultaneous Residue-Class Selection in Prescribed-Difference Packings
Jianfeng Hou, Siyue Liu, Hongbin Zhao
A family of finite subsets of is packed into if suitable integer translates of its members are pairwise disjoint subsets of . We study two presc…