P. Pongsriiam

activity

20132023

most citedFibonacci and Lucas Numbers Associated with Brocard-Ramanujan Equation

12 citations · 24 across the 12 of their papers we have counts for

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Showing 2013Show all

5 papers · 1 filter

math.CA2013

Remarks on Ultrametrics and Metric-Preserving Functions

Prapanpong Pongsriiam, Imchit Termwuttipong

Functions whose composition with every metric is a metric are said to be metric-preserving. In this article, we investigate a variation of the concept of metric-preserving function…

math.NT2013★ 5 cited

Subsequences and Divisibility by Powers of the Fibonacci Numbers

Kritkajohn Onphaeng, Prapanpong Pongsriiam

Let $F_{n}$ be the $n$ th Fibonacci number. Let $m, n$ be positive integers. Define a sequence $(G (k, n, m))_{k \geq 1}$ by $G (1, n, m) = F_{n}^{m}$ , and $G (k + 1, n, m) = F_{n G (k, n, m)}$ for all $…

math.NT2013★ 5 cited

Relatively Prime Sets, Divisor Sums, and Partial Sums

Prapanpong Pongsriiam

For a nonempty finite set $A$ of positive integers, let $g cd (A)$ denote the greatest common divisor of the elements of $A$ . Let $f (n)$ and $Φ (n)$ …

math.NT2013

A remark on relatively prime sets

Prapanpong Pongsriiam

Four functions counting the number of subsets of ${1, 2, ..., n}$ having particular properties are defined by Nathanson and generalized by many authors. They derive explicit form…

math.CA2013

Remarks on Uniformly Symmetrically Continuous Functions

Tammatada Khemaratchatakumthorn, Prapanpong Pongsriiam

We give the definition of uniform symmetric continuity for functions defined on a nonempty subset of the real line. Then we investigate the properties of uniformly symmetrically co…