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

collaborators

Showing 2014Show all

3 papers · 1 filter

math.RA2014

Algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank

Dandan Huang, Yingpu Deng

We give an algorithm for computing the factor ring of a given ideal in a Dedekind domain with finite rank, which runs in deterministic and polynomial-time. We provide two applicati…

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…

Algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank

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