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

collaborators

14 papers

math.NT2023

Directed graphs of integers with arcs determined by an arithmetic function

Phakhinkon Napp Phunphayap, Passawan Noppakaew, Prapanpong Pongsriiam

We introduce a new arc in directed graphs of integers. Among other things, we determine the positive integers that have arcs to all except a finite number of positive integers. We…

math.NT2021

Sums of divisors on arithmetic progressions

Prapanpong Pongsriiam

For each $s \in R$ and $n \in N$ , let $σ_{s} (n) = \sum_{d ∣ n} d^{s}$ . In this article, we give a comparison between $σ_{s} (an + b)$ and $σ_{s} (c n + d)$ where $a$ , $b$ , $c$ , $d$ …

math.NT2020

On Exactly $3$ -Deficient-Perfect Numbers

Saralee Aursukaree, Prapanpong Pongsriiam

Let $n$ and $k$ be positive integers and $σ (n)$ the sum of all positive divisors of $n$ . We call $n$ an exactly $k$ -deficient-perfect number with deficient divisors $d_1, d_2, \ldo…

math.NT2019

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II

Phakhinkon Phunphayap, Prapanpong Pongsriiam

In this article, we give explicit formulas for the $p$ -adic valuations of the Fibonomial coefficients $(n p ^{a} n)_{F}$ for all primes $p$ and positive integers $a$ and $n$ . Th…

math.CA2018★ 2 cited

Reciprocal Sum of Palindromes

Phakhinkon Phunphayap, Prapanpong Pongsriiam

A positive integer $n$ is said to be a palindrome in base $b$ (or $b$ -adic palindrome) if the representation of $n = (a_{k} a_{k - 1} \dots a_{0})_{b}$ in base $b$ with $a_{k} \neq = 0$ has t…

math.NT2017

The general case on the order of appearance of product of consecutive Fibonacci and Lucas numbers

Narissara Khaochim, Prapanpong Pongsriiam

Let $F_{n}$ and $L_{n}$ be the $n$ th Fibonacci and Lucas number, respectively. For each positive integer $m$ , the order of appearance of $m$ in the Fibonacci sequence, denoted by $z(…

math.NT2015★ 12 cited

Fibonacci and Lucas Numbers Associated with Brocard-Ramanujan Equation

Prapanpong Pongsriiam

We explicitly solve the diophantine equations of the form $A_{n_{1}} A_{n_{2}} \dots A_{n_{k}} \pm 1 = B_{m}^{2}$ where $(A_{n})_{n \geq 0}$ and $(B_{m})_{m \geq 0}$ are either the Fibonacci seq…

math.CA2014

On metric-preserving functions and fixed point theorems

Prapanpong Pongsriiam, Imchit Termwuttipong

Kirk and Shahzad have recently given fixed point theorems concerning local radial contractions and metric transforms. In this article, we replace the metric transforms by metric-pr…

math.CA2014

Weakly Symmetrically Continuous Functions

Prapanpong Pongsriiam, Teraporn Thongsiri

We extend the definition of weak symmetric continuity to be applicable for functions defined on any nonempty subset of $R$ . Then we investigate basic properties of weakly symmetri…

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…

Directed graphs of integers with arcs determined by an arithmetic function

Sums of divisors on arithmetic progressions

On Exactly 3-Deficient-Perfect Numbers

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II

Reciprocal Sum of Palindromes

The general case on the order of appearance of product of consecutive Fibonacci and Lucas numbers

Fibonacci and Lucas Numbers Associated with Brocard-Ramanujan Equation

On metric-preserving functions and fixed point theorems

Weakly Symmetrically Continuous Functions

Remarks on Ultrametrics and Metric-Preserving Functions

Subsequences and Divisibility by Powers of the Fibonacci Numbers

Relatively Prime Sets, Divisor Sums, and Partial Sums

A remark on relatively prime sets

Remarks on Uniformly Symmetrically Continuous Functions

On Exactly $3$ -Deficient-Perfect Numbers