Yangbo Ye

activity

20152024

collaborators

5 papers

math.NT2024

Distribution of neighboring values of the Liouville and Möbius functions

Qi Luo, Yangbo Ye

Let $λ (n)$ and $μ (n)$ denote the Liouville function and the Möbius function, respectively. In this study, relationships between the values of $λ (n)$ and $λ (n + h)$ up to $n \leq 1 0^{8}$ …

math.NT2022

Double square moments and bounds for resonance sums of cusp forms

Tim Gillespie, Praneel Samanta, Yangbo Ye

Let $f$ and $g$ be holomorphic cusp forms for the modular group $S L_{2} (Z)$ of weight $k_{1}$ and $k_{2}$ with Fourier coefficients $λ_{f} (n)$ and $λ_{g} (n)$ , respectively. For real…

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

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

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…