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The paper investigates the enumeration of the set AP(n) of partitions of a positive integer n in which the nondecreasing sequence of parts form an arithmetic progression. We establish formulas for… (More)

- Temba Shonhiwa
- 2009

Click on the link to view the abstract. Keywords: Relatively prime compositions; multicompositions; compositeness; inversion pair Quaestiones Mathematicae 32(2009), 35–45

A video signal processing device in which an input video signal is delayed by a period of time equal to an integer number times one horizontal scanning period to obtain a delayed video signal, the… (More)

- Temba Shonhiwa
- 2004

The paper studies the counting function R2(n, k) = ∑ a1+a2+···+ak=n (ai,aj)=1 i 6=j 1, ai ≥ 1, k ≥ 2 with ai, n and k positive integers and establishes a relationship between R2(n, k) and P2(n, k)… (More)

- Terry Goodman, Om Prakash Agrawal, +40 authors Mahmoud Yousef
- 2006

- Temba Shonhiwa
- 1999

When requested to write about the history of Mathematics at the University of Zimbabwe (UZ), I was surprised to find out that there was very little documented information about it. Apparently, this… (More)

- Temba Shonhiwa
- Discrete Mathematics
- 1999

Gould (The Fibonacci Quarterly 2 (1964) 241–260) proved the general inversion theorem: for any ordered sequence pair (f(n, k), g(n, k))
ƒ(n,k)=∑j=kng(n,j)R(j,k) if and only if… (More)

- Temba Shonhiwa
- 2009

- Temba Shonhiwa
- 2004

The paper briefly studies the core function: γ(n) = πω i-1 pi, n > 1, γ(1) = 1, where n = πω i=1 p i ci and then provides characterizations of number theoretic functions based on convolutions… (More)

- Temba Shonhiwa
- 2010

This work is motivated by Nathanson’s recent paper on relatively prime sets and a phi function for subsets of 11; 2; 3; : : : ; no. We establish enumeration formulas for the number of relatively… (More)