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Tuesday, January 26, 2021

**Abstract:** A sequence ${a_1, a_2,\dots, a_k}$ of integers is called a $B_2$ sequence if all the sums $a_i + a_j$, $1 \leq i \leq j \leq k$, are different. Let $F_2(n)$ be the maximum number of elements that can be selected from the set ${1,2,\dots,n}$ so as to form a $B_2$ sequence. Among others we give a new elementary proof for the result of Erdos and Turan (1941) that $F_2(n)= \sqrt{n} + O(n^{1/4})$.

Tuesday, February 2, 2021

Tuesday, February 9, 2021

Tuesday, February 16, 2021

Tuesday, February 23, 2021

Tuesday, March 2, 2021

Tuesday, March 9, 2021

Tuesday, March 16, 2021

Tuesday, March 23, 2021

Tuesday, March 30, 2021

Tuesday, April 6, 2021

Tuesday, April 13, 2021