7 citations · 7 across the 2 of their papers we have counts for
4 papers
math.NT2024
Random Chowla's Conjecture for Rademacher Multiplicative Functions
Jake Chinis, Besfort Shala
We study the distribution of partial sums of Rademacher random multiplicative functions evaluated at polynomial arguments. We show that for a polynomial $P\in \mathbb Z[…
math.NT2021★ 7 cited
Siegel Zeros and Sarnak's Conjecture
Jake Chinis
Assuming the existence of Siegel zeros, we prove that there exists an increasing sequence of positive integers for which Chowla's Conjecture on -point correlations of the Liouvi…
math.NT2020
On the Liouville function in short intervals
Jake Chinis
Let denote the Liouville function. Assuming the Riemann Hypothesis, we prove that as $X\rightarrow…
math.NT2018
Computing the average root number of an elliptic surface
Jake Chinis
By considering a one-parameter family of elliptic curves defined over , we might ask ourselves if there is any bias in the distribution (or parity) of the root numbers…