Xiumin Ren

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

G L_{m} (Z)

25 citations · 25 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2022

Averages of exponential twists of the von Mangoldt function

Xiumin Ren, Wei Zhang

In this paper, we obtain some improved results for the exponential sum $\sum_{x < n \leq 2 x} Λ (n) e (α k n^{θ})$ with $θ \in (0, 5/12),$ where $Λ (n)$ is the von Mangoldt function. Such exponen…

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 $…

Averages of exponential twists of the von Mangoldt function

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 $G L_{m} (Z)$