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pro vyhledávání: '"Cheek, Timothy"'
Autor:
Cheek, Timothy, Gilman, Pico, Jaber, Kareem, Miller, Steven J., Sharan, Vismay, Tomé, Marie-Hélène
For a fixed elliptic curve $E$ without complex multiplication, $a_p := p+1 - \#E(\mathbb{F}_p)$ is $O(\sqrt{p})$ and $a_p/2\sqrt{p}$ converges to a semicircular distribution. Michel proved that for a one-parameter family of elliptic curves $y^2 = x^3
Externí odkaz:
http://arxiv.org/abs/2409.18224
Under the generalized Riemann Hypothesis (GRH), Baluyot, Chandee, and Li nearly doubled the range in which the density of low lying zeros predicted by Katz and Sarnak is known to hold for a large family of automorphic $L$-functions with orthogonal sy
Externí odkaz:
http://arxiv.org/abs/2408.09050
Autor:
Cheek, Timothy, Cooper, Joseph, Gilman, Pico, Iosevich, Alex, Jaber, Kareem, Palsson, Eyvindur, Sharan, Vismay, Shuffelton, Jenna, Tomé, Marie-Hélène
We study a generalization of the Erd\H{o}s-Falconer distance problem over finite fields. For a graph $G$, two embeddings $p, p': V(G) \to \mathbb{F}_q^d$ of a graph $G$ are congruent if for all edges $(v_i, v_j)$ of $G$ we have that $||p(v_i) - p(v_j
Externí odkaz:
http://arxiv.org/abs/2408.07912