Volume 8, 2002, Number 1

Volume 8 ▶ Number 1 ▷ Number 2Number 3Number 4


The periods of the inverses of integers
Original research paper. Pages 1—20
Haralambos Terzidis and George Danas
Full paper (PDF, 7791 Kb) | Abstract

We detail and study the periods of the inverses of integers in order to understand the behavior of periodic arithmetic sequences whose terms are the digits of the inverses of integers. More precisely, by introducing the rank of a prime number we show how to compute the period of the inverse of prime numbers of variable rank. Furthermore, we prove some properties and a number of statements concerning the residue class 10(mod n), (10, n) = 1, which lead to define the degree of a prime number. In addition, by using both the rank and the degree of a prime number we compute the periods of the inverses of powers of prime numbers. Finally, we study the behavior of the simple recurring decimals and we establish our main result which shows how to compute the period and its length of the inverse of an integer.

On the values of p-adic q-L-functions. II
Original research paper. Pages 21—27
Lee Chae Jang, Taekyun Kim and Hong Kyung Pak
Full paper (PDF, 2427 Kb) | Abstract

In the recent paper, we defined the h-extension of q-Bernoulli number by using multiple p-adic q-integral and constructed the h-extension of complex analytic q-L-series which interpolates the h-extension of q-Bernoulli numbers, cf. ⟦2⟧, ⟦4⟧, ⟦5⟧. The purpose of this paper is to construct a h-extension of p-adic q-L-function which interpolates the h-extension of q-Bernoulli numbers at non-positive integers.

On multiplicatively bi-unitary perfect numbers
Original research paper. Pages 28—36
Antal Bege
Full paper (PDF, 2550 Kb)

Converse factor: Definition, properties and problems
Original research paper. Pages 37—38
Krassimir T. Atanassov
Full paper (PDF, 801 Kb)


Volume 8 ▶ Number 1 ▷ Number 2Number 3Number 4

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