Ping Xi

activity

20122022

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

1 citations · 2 across the 3 of their papers we have counts for

collaborators

Showing math.NTShow all

5 papers · 1 filter

math.NT2022★ 1 cited

A conjecture of Sárközy on quadratic residues, II

Yong-Gao Chen, Ping Xi

Denote by $R_{p}$ the set of all quadratic residues in $F_{p}$ for each prime $p$ . A conjecture of A. Sárközy asserts, for all sufficiently large $p$ , that no subset…

math.NT2021

Addendum to "Arithmetic exponent pairs of algebraic trace functions and applications"

Jie Wu, Ping Xi

This addendum devotes to a detailed proof for the inequality (9.14) in our joint work: Arithmetic exponent pairs for algebraic trace functions and applications, with an appendix by…

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…

A conjecture of Sárközy on quadratic residues, II

Addendum to "Arithmetic exponent pairs of algebraic trace functions and applications"

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