Results 31 to 40 of about 14,098 (157)
Moments of L$L$‐functions via a relative trace formula
Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
wiley +1 more source
Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre +2 more
wiley +1 more source
Gravitational edge mode in asymptotically AdS2: JT gravity revisited
We study the gravitational edge mode of the Jackiw-Teitelboim (JT) gravity and its sl(2, ℝ) BF theory description with the asymptotic AdS2 boundary condition.
Euihun Joung +2 more
doaj +1 more source
Variation of Iwasawa invariants in Hida families
Let r : G_Q -> GL_2(Fpbar) be a p-ordinary and p-distinguished irreducible residual modular Galois representation. We show that the vanishing of the algebraic or analytic Iwasawa mu-invariant of a single modular form lifting r implies the vanishing of ...
Emerton, Matthew +2 more
core +1 more source
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
$\Lambda$-adic Kolyvagin systems
In this paper, we study the deformations of Kolyvagin systems that are known to exist in a wide variety of cases, by the work of B. Howard, B. Mazur, and K. Rubin for the residual Galois representations, along the cyclotomic Iwasawa algebra.
Buyukboduk, Kazim
core +2 more sources
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
On the equivariant main conjecture of Iwasawa theory
Recently, D. Burns and C. Greither (Invent. Math., 2003) deduced an equivariant version of the main conjecture for abelian number fields. This was the key to their proof of the equivariant Tamagawa number conjecture. A. Huber and G. Kings (Duke Math. J.,
Abstract Refining +6 more
core +3 more sources
This study investigated the seismic behavior and stress transfer mechanisms of through‐diaphragm beam‐to‐column connections of CFST columns with different upper and lower sizes. An ultimate strength formula based on yield‐line theory that incorporates concrete bearing resistance is proposed, and its predictions agree well with the experimental results.
Takashi Fujinaga +4 more
wiley +1 more source
Re-assigning (1x2) reconstruction of rutile TiO_2(110) from DFT+U calculations
Physically reasonable electronic structures of reconstructed rutile TiO_2(110)-(1x2) surfaces were studied using density functional theory (DFT) supplemented with Hubbard U on-site Coulomb repulsion acting on the d electrons, so called as the DFT+U ...
Ersen Mete +3 more
core +1 more source

