Zobrazeno 1 - 10
of 55
pro vyhledávání: '"BRUMLEY, FARRELL"'
Autor:
Brumley, Farrell, Marshall, Simon
Let $n>m\geqslant 1$ be integers with $n+m\geqslant 4$ even. We prove the existence of Maass forms with large sup norms on anisotropic ${\rm O}(n,m)$, by combining a counting argument with a new period relation showing that a certain orthogonal perio
Externí odkaz:
http://arxiv.org/abs/2309.06433
We prove the Mixing Conjecture of Michel--Venkatesh for the class group action on Heegner points of large discriminant on compact arithmetic surfaces attached to maximal orders in rational quaternion algebras. The proof is conditional on the Generali
Externí odkaz:
http://arxiv.org/abs/2212.06280
We obtain a Weyl law with power savings for the universal families of cuspidal automorphic representations, ordered by analytic conductor, of $\mathrm{GL}_2$ over $\mathbb{Q}$, as well as for Hecke characters over any number field. The method proceed
Externí odkaz:
http://arxiv.org/abs/2105.02068
Autor:
Blomer, Valentin, Brumley, Farrell
The embedding of a torus into an inner form of PGL(2) defines an adelic toric period. A general version of Duke's theorem states that this period equidistributes as the discriminant of the splitting field tends to infinity. In this paper we consider
Externí odkaz:
http://arxiv.org/abs/2009.07093
Autor:
Brumley, Farrell, Matz, Jasmin
We study the limiting behavior of Maass forms on Benjamini-Schramm convergent sequences of compact quotients of ${\rm SL}_d(\mathbb{R})/{\rm SO}(d)$, $d\ge 3$, whose spectral parameter stays in a fixed window. We prove a form of Quantum Ergodicity in
Externí odkaz:
http://arxiv.org/abs/2009.05979
Autor:
Brumley, Farrell, Milićević, Djordje
Let $F$ be a number field and $n\geqslant 1$ an integer. The universal family is the set $\mathfrak{F}$ of all unitary cuspidal automorphic representations on ${\rm GL}_n$ over $F$, ordered by their analytic conductor. We prove an asymptotic for the
Externí odkaz:
http://arxiv.org/abs/1805.00633
Publikováno v:
J. Eur. Math. Soc. (JEMS) 24 (2022), no. 5, 1471-1541
Let $\pi$ and $\pi_0$ be unitary cuspidal automorphic representations. We prove log-free zero density estimates for Rankin-Selberg $L$-functions of the form $L(s,\pi\times\pi_0)$, where $\pi$ varies in a given family and $\pi_0$ is fixed. These estim
Externí odkaz:
http://arxiv.org/abs/1804.06402
Autor:
Brumley, Farrell, Marshall, Simon
Publikováno v:
Compositio Math. 156 (2020) 959-1003
Let $G$ be an anisotropic semisimple group over a totally real number field $F$. Suppose that $G$ is compact at all but one infinite place $v_0$. In addition, suppose that $G_{v_0}$ is $\mathbb{R}$-almost simple, not split, and has a Cartan involutio
Externí odkaz:
http://arxiv.org/abs/1604.02019
Autor:
Blomer, Valentin, Brumley, Farrell
Publikováno v:
Journal of the European Mathematical Society (EMS Publishing); 2024, Vol. 26 Issue 8, p2745-2796, 52p
Autor:
Brumley, Farrell, Templier, Nicolas
We establish the transition behavior of Jacquet-Whittaker functions on split semi-simple Lie groups. As a consequence, we show that for certain finite volume Riemannian manifolds, the local bound for normalized Laplace eigenfunctions does not hold gl
Externí odkaz:
http://arxiv.org/abs/1411.4317