Jianya Liu

activity

20062021

most citedThe Möbius function and distal flows

50 citations · 64 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Manin's conjecture for singular cubic hypersurfaces

Jianya Liu, Tingting Wen, Jie Wu

Let S Q denote x 3 = Q(y 1 ,. .. , y m)z where Q is a primitive positive definite quadratic form in m variables with integer coefficients. This S Q ranges over a class of singular…

math.NT2021

On forms in prime variables

Jianya Liu, Lilu Zhao

Let $F_{1}, \dots, F_{R}$ be homogeneous polynomials of degree $d \geq 2$ with integer coefficients in $n$ variables, and let $F = (F_{1}, \dots, F_{R})$ . Suppose that $F_{1}, \dots, F_{R}$ …

math.NT2021

Representation by sums of unlike powers

Jianya Liu, Lilu Zhao

It is proved that all sufficiently large integers $n$ can be represented as $n = x_{1}^{2} + x_{2}^{3} + \dots + x_{13}^{14},$ where $x_{1}, \dots, x_{13}$ are positive integers. This improves upo…