Displaying similar documents to “A congruence involving the quotients of Euler and its applications (II)”

Strong versions of Kummer-type congruences for Genocchi numbers and polynomials and tangent coefficients

Mehmet Cenkci (2005)

Acta Mathematica Universitatis Ostraviensis

Similarity:

We use the properties of p -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.

Some finite generalizations of Euler's pentagonal number theorem

Ji-Cai Liu (2017)

Czechoslovak Mathematical Journal

Similarity:

Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.