Ping Xi

activity

20092026

most citedQuadratic polynomials at prime arguments

6 citations · 19 across the 21 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.NT2017★ 6 cited

Counting fundamental solutions to the Pell equation with prescribed size

Ping Xi

The cardinality of the set of $D ⩽ x$ for which the fundamental solution of the Pell equation $t^{2} - D u^{2} = 1$ is less than $D^{\frac{1}{2} + α}$ with $α \in [\frac{1}{2}, 1]$ is stu…

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…

Counting fundamental solutions to the Pell equation with prescribed size

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

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