M. McKee

activity

20112021

most citedImproved subconvexity bounds for GL(2)xGL(3) and GL(3) L-functions by weighted stationary phase

16 citations · 28 across the 7 of their papers we have counts for

collaborators

7 papers

math.RT2021★ 1 cited

Symmetry breaking operators for dual pairs with one member compact

M. McKee, A. Pasquale, T. Przebinda

We consider a dual pair $(G, G^{'})$ , in the sense of Howe, with G compact acting on $L^{2} (R^{n})$ , for an appropriate $n$ , via the Weil representation $ω$ . Let $\tilde{\mathrm{…

math.CA2016★ 1 cited

Weighted stationary phase of higher orders

Mark McKee, Haiwei Sun, Yangbo Ye

An $n$ th-order first derivative test for oscillatoric integrals is established. When the phase has a single stationary point, an $n$ th-order asymptotic expansion of a weighted stat…

math.NT2015

Asymptotics for cuspidal representations by functoriality from GL(2)

Huixue Lao, Mark McKee, Yangbo Ye

Let $π$ be a unitary automorphic cuspidal representation of $G L_{2} (Q_{A})$ with Fourier coefficients $λ_{π} (n)$ . Asymptotic expansions of certain sums of $λ_{π} (n)$ are…

math.NT2015★ 16 cited

Improved subconvexity bounds for GL(2)xGL(3) and GL(3) L-functions by weighted stationary phase

Mark McKee, Haiwei Sun, Yangbo Ye

Let $f$ be a fixed self-contragradient Hecke-Maass form for $S L (3, Z)$ , and $u$ an even Hecke-Maass form for $S L (2, Z)$ with Laplace eigenvalue $1/4 + k^{2}$ , $k > 0$ . A su…

math.NT2015★ 8 cited

A relative trace formula for a compact Riemann surface

Kimball Martin, Mark McKee, Eric Wambach

We study a relative trace formula for a compact Riemann surface with respect to a closed geodesic $C$ . This can be expressed as a relation between the period spectrum and the ortho…

math.RT2014★ 2 cited

Weyl calculus and dual pairs

M. McKee, A. Pasquale, T. Przebinda

We consider a dual pair $(G, G^{'})$ , in the sense of Howe, with $G$ compact acting on $L^{2} (R^{n})$ for an appropriate $n$ via the Weil Representation. Let $G$ be the…

math.RT2011

Semisimple orbital integrals on the symplectic space for a real reductive dual pair

M. McKee, A. Pasquale, T. Przebinda

We prove a Weyl Harish-Chandra integration formula for the action of a reductive dual pair on the corresponding symplectic space $W$ . As an intermediate step, we introduce a notion…