Paper IV: Cyclic Analytic Functions, Reciprocal Families, and Spectral Zero Data
What can we learn by splitting an analytic function into residue classes of its coefficients?
Cyclic projections organize differential cycles, reciprocal coefficients, and addition laws. For the specified cyclic analytic family, the paper also develops zero geometry, products, and coefficient asymptotics.
Assumptions and limits. The analytic conclusions concern this declared family. Complex powers require either a formal-series interpretation or a chosen logarithm on a suitable zero-free domain.
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