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math.NT2024
Dense sets of natural numbers with unusually large least common multiples
Terence Tao
For any constant , we construct a set such that one has $$ \sum_{n \in A: n \leq x} \frac{1}{n} = \exp\left(\left(\frac{C_0}{2}+o(1)\right) (\log\log…
math.NT2024
On product representations of squares
Terence Tao
Fix . For any , let denote the cardinality of the largest subset of that does not contain distinct elements whose product is a squa…