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4 giorni fa · Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao
3 giorni fa · Terence Chi-Shen Tao FAA FRS (Chinese: 陶哲軒; born 17 July 1975) is an Australian mathematician who is a professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins chair.
3 giorni fa · 20 May, 2024 in math.NT, paper | Tags: Paul Erdos | by Terence Tao. I’ve just uploaded to the arXiv my paper “ On product representations of squares “. This short paper answers (in the negative) a (not very well known) question of Erdös. Namely, for any , let be the size of the largest subset of with the property that no distinct ...
4 giorni fa · Mathematics > Number Theory. [Submitted on 19 May 2024] On product representations of squares. Terence Tao. Fix $k \geq 2$. For any $N \geq 1$, let $F_k (N)$ denote the cardinality of the largest subset of $\ {1,\dots,N\}$ that does not contain $k$ distinct elements whose product is a square.
1 giorno fa · We thank Rainer Nagel for long-lasting support and many inspiring discussions. We thank Terence Tao and Asgar Jamneshan for becoming interested in our work and for their readiness to exchange ideas on these topics, and Patrick Hermle and Sascha Trostorff for pointing out mistakes in an earlier version of this article.
4 giorni fa · 1 Answer. Sorted by: 0. When you write x ∈ A ∨ x ∈ B ∨ x ∈ C, you are implicitly assuming the associativity of the logic operator ∨. Hence I would propose a slightly different approach: x ∈ A ∪ (B ∪ C) (x ∈ A) ∨ (x ∈ B ∪ C) (x ∈ A) ∨ ((x ∈ B) ∨ (x ∈ C)) ((x ∈ A) ∨ (x ∈ B)) ∨ (x ∈ C) (x ∈ A ∪ B) ∨ (x ∈ C) x ∈ (A ∪ B) ∪ C.
25 apr 2024 · Terence Tao's Blog. May 20, 2024. On product representations of squares. I’ve just uploaded to the arXiv my paper “ On product representations of squares “. This short paper answers (in the negative) a (not very well known) question of Erdös. Namely, for any , let be the size of the largest subset of with the property that no distinct ...
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