Chang Lv

activity

20152022

most citedOn the Integral Representation of

a x^{2} + b y^{2}

and the Artin Condition

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

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4 papers · 1 filter

math.NT2022

Genus one half stacky curves violating the local-global principle

Han Wu, Chang Lv

For any number field, we prove that there exists a stacky curve of genus one half defined over the ring of its integers violating the local-global principle for integral points.

math.NT2021

Constant Tamagawa numbers of special elliptic curves

Luying Li, Chang Lv

For the elliptic curves $E_{σ 2 D} : y^{2} = x^{3} + σ 2 D x$ , which has 2-isogeny curve $E_{σ 2 D}^{'} : y^{2} = x^{3} - σ 8 D x$ , $σ = \pm 1, D = p_{1}^{e_{1}} p_{2}^{e_{2}} \dots p_{n}^{e_{n}}$ , where $p_{i}$ are…

math.NT2018

On Ring Class Fields of Number Rings

Hairong Yi, Chang Lv

For a number field $K$ , we extend the notion of the ring class field of an order in $K$ [C. Lv and Y. Deng, SciChina. Math., 2015] to that of an arbitrary number ring in $K$ . We gi…

math.NT2015★ 1 cited

On the Integral Representation of $a x^{2} + b y^{2}$ and the Artin Condition

Chang Lv, Junchao Shentu

Given a number field $F$ with $ø_{F}$ its ring of integers. For certain $a, b$ and $α$ in $ø_{F}$ , we show that the Artin condition is the only obstruction to the local-global principle…

Genus one half stacky curves violating the local-global principle

Constant Tamagawa numbers of special elliptic curves

On Ring Class Fields of Number Rings

On the Integral Representation of ax2+by2 and the Artin Condition

On the Integral Representation of $a x^{2} + b y^{2}$ and the Artin Condition