Carry Boundaries and Bernoulli Spectra in Long Division

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20451179
Primary Topic
Advanced Operator Algebra Research
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Carry Boundaries and Bernoulli Spectra in Long Division

Alexander S. Petty
Zenodo (CERN European Organization for Nuclear Research)
Advanced Operator Algebra Research
preprint

Carry Boundaries and Bernoulli Spectra in Long Division

Alexander S. Petty
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Operator Algebra Research
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.