Work

1729 in the Mirror: Reversal and Affine Multiplication

Year: 2026
Type: preprint
Abstract: The decimal reversals 1729 and 9271 have multiplicative orders of $2$ equal to 36 and 63. Motivated by this symmetry, we classify the affine commutation equation $R_B(hx+1)=hR_B(x)+1$, where $R_B$ reverses base-$B$ digits, for every $B\ge3$, $2\le h
Institution: Mahidol University
Language: English
Open Access status: green
OpenAlex ID: W7214008204
Cites: 11
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Related to: 10