Geodesic
On polynomial pairs of integers
Journal of integer sequences, Tome 18 (2015) no. 3
The reversal of a positive integer $A$ is the number obtained by reading A backwards in its decimal representation. A pair $(A, B)$ of positive integers is said to be palindromic if the reversal of the product $A \times B$ is equal to the product of the reversals of $A$ and $B$. A pair $(A, B)$ of positive integers is said to be polynomial if the product $A \times B$ can be performed without carry.
Classification : 11B75, 97A20
Keywords: number reversal, palindrome, palindromic pair, polynomial pair, repunit 
@article{JIS_2015__18_3_a1,
     author = {Ezerman,  Martianus Frederic and Meyer,  Bertrand and Sol\'e,  Patrick},
     title = {On polynomial pairs of integers},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {3},
     zbl = {1310.11009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a1/}
}
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Ezerman,  Martianus Frederic; Meyer,  Bertrand; Solé,  Patrick. On polynomial pairs of integers. Journal of integer sequences, Tome 18 (2015) no. 3. http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a1/