Answers are grounded in this paper and cite their sources.
Theoretical analysis demonstrates decomposition of remainder orbits into nonnegative conductor energies, indicating fundamental harmonic structure in periodic division.
A finite character-sum treatment of periodic long division. Signed additive boundaries of digit regions and multiplicative remainder orbits decompose into nonnegative exact-conductor energies. The results include the complete base-15 conductor spectrum, prime-level support for full unit orbits at odd prime powers, an index-two off-resonance formula depending on the prime modulo 8, and a shifted Jacobi-sum expansion for higher-index prime orbits. Originally published May 2026; revised September 11, 2026.
No takes yet. Share an insight, caveat, or question.
Alexander S. Petty (2026) studied this question.
Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context: