6 citations · 10 across the 10 of their papers we have counts for
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A q-analogue of Lehmer's congruence
Hao Pan
We establish the q-analogue of a classical congruence of Lehmer. Also, the q-analogues of two congruences of Morley and Granville are given.
A q-analogue of Wolstenholme's harmonic series congruence
Ling-Ling Shi, Hao Pan
We establish a q-analogue of Wolstenholme's harmonic series congruence.
A sharp result on m-covers
Hao Pan, Zhi-Wei Sun
Let A={a_s+n_sZ}_{s=1}^k be a finite system of arithmetic sequences which forms an m-cover of Z (i.e., every integer belongs at least to m members of A). In this paper we show the…
Identities concerning Bernoulli and Euler polynomials
Zhi-Wei Sun, Hao Pan
We establish two general identities for Bernoulli and Euler polynomials, which are of a new type and have many consequences. The most striking result in this paper is as follows: I…
New identities involving Bernoulli and Euler polynomials. II
Zhi-Wei Sun, Hao Pan
We derive several symmetric identities for Bernoulli and Euler polynomials which imply some known identities. Our proofs depend on the new technique developed in part I and some id…
New identities involving Bernoulli and Euler polynomials
Hao Pan, Zhi-Wei Sun
In this paper we obtain several new identities for Bernoulli and Euler polynomials; some of them extend Miki's and Matiyasevich's identities. Our new method involves differences an…