Hai-Wei Sun

collaborators

2 papers

math.CA2016

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

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…