Upper bounds for the q-aspect beta=2 partition function of Dirichlet L-functions and for the typical maximum, matching FHK predictions to second order.
Almost sure upper bound for random multiplicative functions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Let $\varepsilon >0$. Let $f$ be a Steinhaus or Rademacher random multiplicative function. We prove that we have almost surely, as $x \to +\infty$, $$ \sum_{n \leqslant x} f(n) \ll \sqrt{x} (\log_2 x)^{\frac{3}{4}+ \varepsilon}. $$
fields
math.NT 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect
Upper bounds for the q-aspect beta=2 partition function of Dirichlet L-functions and for the typical maximum, matching FHK predictions to second order.