Ping Xi

most citedA shifted convolution sum for

G L (3) \times G L (2)

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2018

Equidistributions of Jacobi sums

Ping Xi

Let $F_{q}$ be a finite field of $q$ elements. We show that the normalized Jacobi sum $J (χ, η) / q$ , for each fixed non-trivial multiplicative character $η$ , becomes equ…

math.NT2017★ 1 cited

A shifted convolution sum for $G L (3) \times G L (2)$

Ping Xi

In this paper, we estimate the shifted convolution sum \[\sum_{n\geqslant1}λ_1(1,n)λ_2(n+h)V\Big(\frac{n}{X}\Big),\] where $V$ is a smooth function with support in $[1, 2]$ , $1\leqs…

math.NT2012

Sumsets in primes containing almost all even positive integers

Ping Xi

Let $A$ be a subset of primes up to $x$ . If we assume $A$ is well-distributed (in the Siegel-Walfisz sense) in any arithmetic progressions to moduli $q ⩽ (lo g x)^{c}$ for any…

Equidistributions of Jacobi sums

A shifted convolution sum for GL(3)×GL(2)

Sumsets in primes containing almost all even positive integers

A shifted convolution sum for $G L (3) \times G L (2)$