AI & Computingpreprint2026-08-09

Carry Boundaries and Bernoulli Spectra in Long Division

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Abstract

A finite character-sum treatment of long-division digit-cylinder observables, proving a carry-boundary reduction, a primitive odd Bernoulli/sawtooth factorization, a visible-boundary theorem,and an exact prime-power second-moment identity with a composite proper-conductor obstruction.

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-09

Authors: Alexander S. Petty