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 2020Show all

3 papers · 1 filter

math.NT2020★ 14 cited

Moments of polynomials with random multiplicative coefficients

Jacques Benatar, Alon Nishry, Brad Rodgers

For $X (n)$ a Rademacher or Steinhaus random multiplicative function, we consider the random polynomials $P_{N} (θ) = \frac{1}{N} n \leq N \sum X (n) e (n θ),$ and show that the…

math.NT2020★ 11 cited

On the variance of squarefree integers in short intervals and arithmetic progressions

Ofir Gorodetsky, Kaisa Matomäki, Maksym Radziwiłł +1

We evaluate asymptotically the variance of the number of squarefree integers up to $x$ in short intervals of length $H < x^{6/11 - ε}$ and the variance of the number of s…

math.NT2020

Sums of singular series and primes in short intervals in algebraic number fields

Vivian Kuperberg, Brad Rodgers, Edva Roditty-Gershon

Gross and Smith have put forward generalizations of Hardy - Littlewood twin prime conjectures for algebraic number fields. We estimate the behavior of sums of a singular series tha…