Zobrazeno 1 - 10
of 4 917
pro vyhledávání: '"A. Thorner"'
Autor:
Blomer, Valentin, Thorner, Jesse
We combine the relative trace formula with analytic methods to obtain zero density estimate for $L$-functions in various families of automorphic representations for $\mathrm{GL}(m)$. Applications include strong bounds for the average analytic rank of
Externí odkaz:
http://arxiv.org/abs/2410.17158
This paper presents the 3D soundfield synthesis of the pressure field radiated by directional acoustic sources using both the multimodal method and higher-order ambisonics (HOA). Ambisonics is a technique for encoding and reproducing measured or mode
Externí odkaz:
http://arxiv.org/abs/2409.12506
Let $L(s,\pi)=\sum_{n=1}^{\infty}\lambda_{\pi}(n)n^{-s}$ be an $L$-function that satisfies a weak form of the generalized Ramanujan conjecture. We prove that large partial sums of $\lambda_{\pi}(n)$ strongly repel the low-lying zeros of $L(s,\pi)$ aw
Externí odkaz:
http://arxiv.org/abs/2408.03938
For certain families of $L$-functions, we prove that if each $L$-function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of $s=1$, then one may considerably improve upon the known results on Landau-Siegel zeros. Sarna
Externí odkaz:
http://arxiv.org/abs/2404.16003
Autor:
Thorner, Jesse
Let $\chi$ be an idele class character over a number field $F$, and let $\pi,\pi'$ be non-dihedral twist-inequivalent cuspidal automorphic representations of $\mathrm{GL}_2(\mathbb{A}_F)$. We prove the following results. 1. If $m,n\geq 0$ are integer
Externí odkaz:
http://arxiv.org/abs/2404.06482
Autor:
Humphries, Peter, Thorner, Jesse
We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual $\mathrm{GL}_2$ Hecke-Maass newforms over $\mathbb{Q}$ as the level and Laplace eigenvalue vary jointly. The second is a nonsplit analogue wherein almost all r
Externí odkaz:
http://arxiv.org/abs/2403.14591
Autor:
Koymans, Peter, Thorner, Jesse
Fix a number field $k$, integers $\ell, n \geq 2$, and a prime $p$. For all $r \geq 1$, we prove strong unconditional upper bounds on the $r$-th moment of $\ell$-torsion in the ideal class groups of degree $p$ extensions of $k$ and of degree $n$ $S_n
Externí odkaz:
http://arxiv.org/abs/2309.07204
Autor:
Harcos, Gergely, Thorner, Jesse
Let $\pi$ and $\pi'$ be cuspidal automorphic representations of $\mathrm{GL}(n)$ and $\mathrm{GL}(n')$ with unitary central characters. We establish a new zero-free region for all $\mathrm{GL}(1)$-twists of the Rankin-Selberg $L$-function $L(s,\pi\ti
Externí odkaz:
http://arxiv.org/abs/2303.16889
Autor:
Thorner, Jesse, Zaman, Asif
We make explicit Bombieri's refinement of Gallagher's log-free "large sieve density estimate near $\sigma = 1$" for Dirichlet $L$-functions. We use this estimate and recent work of Green to prove that if $N\geq 2$ is an integer, $A\subseteq\{1,\ldots
Externí odkaz:
http://arxiv.org/abs/2208.11123
Autor:
Kaneko, Ikuya, Thorner, Jesse
We prove a highly uniform version of the prime number theorem for a certain class of $L$-functions. The range of $x$ depends polynomially on the analytic conductor, and the error term is expressed in terms of an optimization problem depending explici
Externí odkaz:
http://arxiv.org/abs/2203.09515