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 2016Show all

3 papers · 1 filter

math.NT2016★ 14 cited

The variance of divisor sums in arithmetic progressions

Brad Rodgers, Kannan Soundararajan

We study the variance of sums of the $k$ -fold divisor function $d_{k} (n)$ over sparse arithmetic progressions, with averaging over both residue classes and moduli. In a restricted ra…

math.NT2016★ 23 cited

Arithmetic functions in short intervals and the symmetric group

Brad Rodgers

We consider the variance of sums of arithmetic functions over random short intervals in the function field setting. Based on the analogy between factorizations of random elements o…

math.CA2016★ 10 cited

On the distribution of Rudin-Shapiro polynomials and lacunary walks on $S U (2)$

Brad Rodgers

We characterize the limiting distribution of Rudin-Shapiro polynomials, showing that, normalized, their values become uniformly distributed in the disc. This resolves conjectures o…

The variance of divisor sums in arithmetic progressions

Arithmetic functions in short intervals and the symmetric group

On the distribution of Rudin-Shapiro polynomials and lacunary walks on SU(2)

On the distribution of Rudin-Shapiro polynomials and lacunary walks on $S U (2)$