2 citations · 2 across the 7 of their papers we have counts for
7 papers
On further questions regarding unit fractions
Yang P. Liu, Mehtaab Sawhney
We prove that a subset with \[\sum_{n\in A}\frac{1}{n} \ge (\log N)^{4/5 + o(1)}\] contains a subset such that \[\sum_{n\in B} \frac{1}{n} = 1.\] Our techni…
Effective bounds for Roth's theorem with shifted square common difference
Sarah Peluse, Ashwin Sah, Mehtaab Sawhney
Let be a subset of avoiding the nontrivial progressions . We prove that , where is the -fold iterated…
On Perfectly Friendly Bisections of Random Graphs
Dor Minzer, Ashwin Sah, Mehtaab Sawhney
We prove that there exists a constant such that if then for any with high probability has a equipa…
The Exact Rank of Sparse Random Graphs
Margalit Glasgow, Matthew Kwan, Ashwin Sah +1
Two landmark results in combinatorial random matrix theory, due to Komlós and Costello-Tao-Vu, show that discrete random matrices and symmetric discrete random matrices are typical…
The intransitive dice kernel:
Ashwin Sah, Mehtaab Sawhney
Answering a pair of questions of Conrey, Gabbard, Grant, Liu, and Morrison, we prove that a triplet of dice drawn from the multiset model are intransitive with probability $1/4+o(1…
Distribution of the threshold for the symmetric perceptron
Ashwin Sah, Mehtaab Sawhney
We derive an explicit distribution for the threshold sequence of the symmetric binary perceptron with Gaussian disorder, proving that the critical window is of constant width.