Paper 3. The Inheritance Law on the Cycle

Osman, Mohamed

Paper 3. The Inheritance Law on the Cycle

Exact transport of the divisor census, and of weights, over a sieve cycle

Mohamed Osman · ORCID 0009-0004-5912-999X · independent researcher · 2026-10-16

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Abstract. Adding a line q multiplies the cycle by q and the census transports with no error at all; a finite-state refinement evaluates any weight depending on the number of lines met.

No progress toward the twin-prime conjecture is claimed. Priority is not claimed for any result. Every number printed is regenerated by a script in code/ of the repository. Licence: CC BY 4.0 (text), MIT (code).