Yangbo Ye

activity

20142026

most citedResonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for

G L_{m} (Z)

25 citations · 42 across the 6 of their papers we have counts for

collaborators

10 papers

math.NT2026

Functoriality probes over number fields by mixed zero correlations

Yangbo Ye

We use an automorphic L-function over one number field as a probe for the functorial structure of another automorphic L-function over a possibly different field. No automorphic ind…

math.NT2026

Probing automorphic induction through zero correlations and secondary arithmetic terms

Yangbo Ye

Zero correlations offer a way to test the cuspidal structure of an automorphic L-function, but their leading self statistics retain only coarse degree and multiplicity data. We the…

math.NT2026

Zero density in short strips and short-interval bounds toward Hypothesis S

Yangbo Ye

We deduce zero-density estimates in short vertical strips from short-interval moments of globally tempered automorphic $L$ -functions, by adapting the large-value estimate of Guth a…

math.NT2026

Nonlinear twists of Rankin-Selberg coefficients in the eigenvalue aspect

Yangbo Ye

Let $g$ be a fixed primitive Hecke--Maass cusp form, and let $f$ vary with spectral parameter $k_{f} = K$ , at a fixed level and with trivial nebentypus. We study smooth sums of $λ_f(n)…

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★ 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.NT2014★ 25 cited

Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for $G L_{m} (Z)$

Xiumin Ren, Yangbo Ye

Let $f$ be a full-level cusp form for $G L_{m} (Z)$ with Fourier coefficients $A_{f} (n_{1}, ..., n_{m - 1})$ . In this paper an asymptotic expansion of Voronoi's summation formula for $…

Functoriality probes over number fields by mixed zero correlations

Probing automorphic induction through zero correlations and secondary arithmetic terms

Zero density in short strips and short-interval bounds toward Hypothesis S

Nonlinear twists of Rankin-Selberg coefficients in the eigenvalue aspect

Distribution of neighboring values of the Liouville and Möbius functions

Double square moments and bounds for resonance sums of cusp forms

Weighted stationary phase of higher orders

Asymptotics for cuspidal representations by functoriality from GL(2)

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

Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for GLm​(Z)

Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for $G L_{m} (Z)$