Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Jim, Akash"'
We determine the average size of the eigenvalues of the Hecke operators. To measure average size, we use the quadratic mean. We consider both the vertical and the horizontal perspective.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2407.19076
For $m \geq 1$, let $N \geq 1$ be coprime to $m$, $k \geq 2$, and $\chi$ be a Dirichlet character modulo $N$ with $\chi(-1)=(-1)^k$. Then let $T_m^{\text{new}}(N,k,\chi)$ denote the restriction of the $m$-th Hecke operator to the space $S_k^{\text{ne
Externí odkaz:
http://arxiv.org/abs/2407.11694
Autor:
Jim, Akash, Hagedorn, Thomas
We prove an irreducibility criterion for polynomials of the form $h(x)=x^{2m} + bx^m + c_1 \in F[x]$ relating to the Dickson polynomials of the first kind $D_p$. In the case when $F = \mathbb{Q}$, $m$ is a prime $p>3$, and $c_1=c^p$, for $c\in\mathbb
Externí odkaz:
http://arxiv.org/abs/2401.13925