Upper Fibers and Witness Covers for the Fibonacci Order-of-Apparition Map
Combinatorial number theory
gen2
combinatorial
submitted
We introduce witness covers for the fiber B_n, proving B_n is an upper set in the divisor lattice. Minimal generators are classified via a primitive-vs-ladder dichotomy for atomic prime-power birth mo…
Research in Number Theory Submitted 29 Theorems Combinatorial number theory
Abstract
We introduce witness covers for the fiber B_n, proving B_n is an upper set in the divisor lattice. Minimal generators are classified via a primitive-vs-ladder dichotomy for atomic prime-power birth moduli.
Keywords: Fibonacci sequences, rank of apparition, divisor lattices, multiplicative number theory
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