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 2013 · math.NTShow all

3 papers · 2 filters

math.NT2013★ 1 cited

Primality test for numbers of the form $(2 p)^{2^{n}} + 1$

Yingpu Deng, Dandan Huang

We describe a primality test for number $M = (2 p)^{2^{n}} + 1$ with odd prime $p$ and positive integer $n$ . And we also give the special primality criteria for all odd primes $p$ not exc…

math.NT2013★ 1 cited

Primality Test for Numbers of the Form Ap^n+w

Yingpu Deng, Chang Lv

We propose an algorithm determining the primality of numbers $M = A p^{n} + w_{n}$ where $w_{n}^{p - 1} \equiv 1 (mod p^{n})$ and $A < p^{n}$ and give example when $p = 7$ . $p$ th reciprocity law is invo…

math.NT2013

Explicit primality criteria for $h \cdot 2^{n} \pm 1$

Yingpu Deng, Dandan Huang

We describe an explicit generalized Lucasian test to determine the primality of numbers $h \cdot 2^{n} \pm 1$ when $h\nequiv0\pmod{17}$. This test is by means of fixed seeds which depend…

Primality test for numbers of the form (2p)2n+1

Primality Test for Numbers of the Form Ap^n+w

Explicit primality criteria for h⋅2n±1

Primality test for numbers of the form $(2 p)^{2^{n}} + 1$

Explicit primality criteria for $h \cdot 2^{n} \pm 1$