Volume 7, 2001, Number 3

Volume 7 ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4

An application of polylogarithms in the analogs of Genocci numbers
Original research paper. Pages 65–69
L.-C. Jang, T. Kim, D.-H. Le and D.-W. Park
Full paper (PDF, 170 Kb) | Abstract

In this note, we will give a new formulae on Genocchi numbers. Also we define poly Genocchi numbers to give the relation between Genocchi number and poly Genocchi number.

Transformation-invariant p-adic integral on Zp
Original research paper. Pages 70–77
H.-S. Cho and E.-S. Kim
Full paper (PDF, 216 Kb) | Abstract

In this paper, we treat the some formulas to be related an invariant p-adic integral on Zp. As an application of an invariant p-adic integral on Zp, we give the formulas for sums of products of the analogue of Bernoulli numbers to be defined by an invariant p-adic integral on Zp.

A note on the analogs of p-adic L-functions and sums of powers
Original research paper. Pages 78–86
T. Kim, C.S. Ryoo, H. K. Pak and S.-H. Rim
Full paper (PDF, 286 Kb) | Abstract

The purpose of this paper is to give an explicit p-adic expansion of \sum_{j=1}^{*np} \frac{q^j}{j^r} such that the coefficients of the expansion are the values of an analogue of p-adic L-function associated with Euler numbers.

Notes on the q-Stirling numbers of second kind
Original research paper. Pages 87–90
T. Kim, D.-W. Park and Y. S. Ro
Full paper (PDF, 140 Kb)

On an additive analogue of the function S
Original research paper. Pages 91–95
J. Sándor
Full paper (PDF, 146 Kb)

On a conjecture concerning the harmonic series
Original research paper. Pages 96–102
K. Atanassov
Full paper (PDF, 197 Kb)

Explicit formulae for the n-th term of the twin prime sequence
Original research paper. Pages 103–104
M. Vassilev-Missana
Full paper (PDF, 68 Kb) | Abstract

In this paper three different explicit formulae for the n-th term of the twin prime sequence are proposed arid proved. The investigation continues.

Volume 7 ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4

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