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math.NT2023
Extreme values of Dirichlet polynomials with multiplicative coefficients
Max Wenqiang Xu, Daodao Yang
We study extreme values of Dirichlet polynomials with multiplicative coefficients, namely \[D_N(t) : = D_{f,\, N}(t)= \frac{1}{\sqrt{N}} \sum_{n\leqslant N} f(n) n^{it}, \] where $…
math.NT2023★ 1 cited
Better than square-root cancellation for random multiplicative functions
Max Wenqiang Xu
We investigate when the better than square-root cancellation phenomenon exists for , where and is a random multiplicative functio…