Non-power positional number representation systems, bijective numeration, and the Mesoamerican discovery of zero

@article{RojoGaribaldi2021NonpowerPN,
  title={Non-power positional number representation systems, bijective numeration, and the Mesoamerican discovery of zero},
  author={Berenice Rojo-Garibaldi and Costanza Rangoni and Diego L. Gonz'alez and J. Cartwright},
  journal={Heliyon},
  year={2021},
  volume={7}
}
Pre-Columbian Mesoamerica was a fertile crescent for the development of number systems. A form of vigesimal system seems to have been present from the first Olmec civilization onwards, to which succeeding peoples made contributions. We discuss the Maya use of the representational redundancy present in their Long Count calendar, a non-power positional number representation system with multipliers 1, 20, 18 × 20, …, 18 × 20n. We demonstrate that the Mesoamericans did not need to invent positional… Expand

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