Department of

March 2021 April 2021May 2021Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr SaSuMo Tu We Th Fr Sa 1 2 3 4 5 6 1 2 3 1 7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8 14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15 21 22 23 24 25 26 27 18 19 20 21 22 23 241617 18 19 20 21 22 28 29 30 31 25 26 27 28 29 30 23 24 25 26 27 28 29 30 31

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

Tuesday, April 20, 2021

Tuesday, April 27, 2021

Tuesday, May 4, 2021

Tuesday, May 11, 2021