Brad Rodgers

activity

20122026

most citedArithmetic functions in short intervals and the symmetric group

23 citations · 141 across the 21 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018★ 4 cited

The variance of the number of sums of two squares in $F_{q} [T]$ in short intervals

Ofir Gorodetsky, Brad Rodgers

Consider the number of integers in a short interval that can be represented as a sum of two squares. What is an estimate for the variance of these counts over random short interval…

math.NT2018★ 7 cited

The De Bruijn-Newman constant is non-negative

Brad Rodgers, Terence Tao

For each $t \in R$ , define the entire function $H_{t} (x) := \int_{0}^{\infty} e^{t u^{2}} Φ (u) cos (xu) d u$ where $Φ$ is the super-exponentially decaying function $$ Φ(u) := \sum_…

The variance of the number of sums of two squares in Fq​[T] in short intervals

The De Bruijn-Newman constant is non-negative

The variance of the number of sums of two squares in $F_{q} [T]$ in short intervals