Name
Abstract | ||
|---|---|---|
The reversal of a positive integer A is the number obtained by reading A backwards in its decimal representation. A pair (A, 13) of positive integers is said to be palindromic if the reversal of the product A x B is equal to the product of the reversals of A and B. A pair (A, B) of positive ml egers is said to be polynomial if the product A x B can be performed without carry. In this paper, we use polynomial pairs in constructing and in studying the properties of palindromic pairs. It is shown that polynomial pairs are always palindromic. It is further conjectured that, provided that neither A nor B is itself a palindrome, all palMdromic pairs are polynomial. A connection is made with classical topics in recreational mathematics such as reversal multiplication, palindromic squares, and repunits. |
Year | Venue | Field |
|---|---|---|
2015 | JOURNAL OF INTEGER SEQUENCES | Integer,Decimal representation,Algebra,Polynomial,Palindromic number,Palindrome,Recreational mathematics,Multiplication,Palindromic prime,Mathematics |
DocType | Volume | Issue |
Journal | 18 | 3 |
ISSN | Citations | PageRank |
1530-7638 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| martianus frederic ezerman | 1 | 66 | 10.14 |
| bertrand meyer | 2 | 0 | 0.34 |
| Patrick Solé | 3 | 636 | 89.68 |