Zeros of Rankin–Selberg L-functions in families

Zeros of Rankin-Selberg $L$-functions in families. https://t.co/gZ6lmo6N1p

Hilbert Hecke-Maass newforms to the modular surface dissipate as their Laplace eigenvalues grow. [6/6 of https://t.co/Gjii28WE9o]

y^{-2}dxdy$ associated to $\mathrm{GL}_2$ Hecke-Maass newforms $\varphi$ with trivial nebentypus, extending work of Luo and Sarnak for level 1 cusp forms; and (v) a nonsplit analogue of quantum ergodicity: almost all restrictions of [5/6 of https://t.co/Gj

$L(s,\pi\times\pi')\in \mathcal{S}$ have a hybrid-aspect subconvexity bound on $\mathrm{Re}(s)=\frac{1}{2}$; (iv) a hybrid-aspect power-saving upper bound for the variance in the discrepancy of the measures $|\varphi(x+iy)|^2 [4/6 of https://t.co/Gjii28WE9