3 papers
math.NT2019
Möbius formulas for densities of sets of prime ideals
Michael Kural, Vaughan McDonald, Ashwin Sah
We generalize results of Alladi, Dawsey, and Sweeting and Woo for Chebotarev densities to general densities of sets of primes. We show that if is a number field and is any…
math.CO2019
Linear extension numbers of -element posets
Noah Kravitz, Ashwin Sah
We address the following natural but hitherto unstudied question: what are the possible linear extension numbers of an -element poset? Let denote the set of all…
math.CO2018
On the Discrepancy Between Two Zagreb Indices
Ashwin Sah, Mehtaab Sawhney
We examine the quantity \[S(G) = \sum_{uv\in E(G)} \min(\text{deg } u, \text{deg } v)\] over sets of graphs with a fixed number of edges. The main result shows the maximum possible…