57 citations · 242 across the 23 of their papers we have counts for
28 papers
Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights
Adam J. Harper
We establish sharp lower bounds for the Dirichlet character moments , where is a large prime, $1 \leq x \l…
Distribution of random multiplicative functions in short intervals, with proper normalization
Adam J. Harper, Kannan Soundararajan, Max Wenqiang Xu
We determine the limiting distribution of partial sums of a Steinhaus random multiplicative function over short intervals , where $y \rightar…
The typical size of character and zeta sums is
Adam J. Harper
We prove conjecturally sharp upper bounds for the Dirichlet character moments , where is a large prime, $1…
A note on character sums over short moving intervals
Adam J. Harper
We investigate the sums , where is a fixed non-principal Dirichlet character modulo a prime , and is uniformly r…
Almost sure large fluctuations of random multiplicative functions
Adam J. Harper
We prove that if is a Steinhaus or Rademacher random multiplicative function, there almost surely exist arbitrarily large values of for which $|\sum_{n \leq x} f(n)| \ge…
On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture
Adam J. Harper
We investigate the ``partition function'' integrals for the critical exponent 2, and the local maxima $\max_{|h| \leq 1/2} |ζ(1/2 + it +…