Yingpu Deng

activity

20102023

most citedOn Orders in Number Fields: Picard Groups, Ring Class Fields and Applications

8 citations · 18 across the 19 of their papers we have counts for

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Showing 2014 · math.NTShow all

2 papers · 2 filters

math.NT2014

Representing Primes as the Form $x^{2} + n y^{2}$ in Some Imaginary Quadratic Fields

Chang Lv, Yingpu Deng

We give criteria of the solvability of the diophantine equation $p = x^{2} + n y^{2}$ over some imaginary quadratic fields where $p$ is a prime element. The criteria becomes quite simple in…

math.NT2014★ 8 cited

On Orders in Number Fields: Picard Groups, Ring Class Fields and Applications

Chang Lv, Yingpu Deng

In this article, we focus on orders in arbitrary number fields, consider their Picard groups and finally obtain ring class fields corresponding to them. The Galois group of the rin…

Representing Primes as the Form x2+ny2 in Some Imaginary Quadratic Fields

On Orders in Number Fields: Picard Groups, Ring Class Fields and Applications

Representing Primes as the Form $x^{2} + n y^{2}$ in Some Imaginary Quadratic Fields