Yingpu Deng

collaborators

2 papers

math.NT2016

Combinatorial Sums $\sum_{k\equiv r(\mbox{mod} m)}{n\choose k}a^k$ and Lucas Quotients (II)

Jiangshuai Yang, Yingpu Deng

In [16], we obtained some congruences for Lucas quotients of two infinite families of Lucas sequences by studying the combinatorial sum $$\sum_{k\equiv r(\mbox{mod}m)}{n\choose k}a…

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…

Combinatorial Sums $\sum_{k\equiv r(\mbox{mod} m)}{n\choose k}a^k$ and Lucas Quotients (II)

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

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