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PreprintCC BY-ND 4.0HAL

ON THE GENERALIZED RUN LENGTH-DENSITY THEOREM

Abstract

We generalize the run length-density theorem on addition chains, an assertion that infinite sequences whose finite truncations constitute an addition chain and with a certain relatively slowly growing consecutive steps having short stretches must have a zero logarithmic density.

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BibTeX
@misc{agama2026generalized,
  title = {{ON THE GENERALIZED RUN LENGTH-DENSITY THEOREM}},
  author = {Theophilus Agama},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  url = {https://hal.science/hal-05784838v1},
  note = {CC BY-ND 4.0},
}
RIS
TY  - UNPB
TI  - ON THE GENERALIZED RUN LENGTH-DENSITY THEOREM
AU  - Theophilus Agama
PY  - 2026
DA  - 2026/10/07
PB  - HAL
UR  - https://hal.science/hal-05784838v1
AB  - We generalize the run length-density theorem on addition chains, an assertion that infinite sequences whose finite truncations constitute an addition chain and with a certain relatively slowly growing consecutive steps having short stretches must have a zero logarithmic density.
ER  -