Amdeberhan–Chen–Moll–Sagan valuation conjecture for generalized Fibonacci sequences
Amdeberhan–Chen–Moll–Sagan valuation conjecture for generalized Fibonacci sequences
Let denote the generalized Fibonacci sequence, and let be the -adic valuation. For an integer , write if divides and otherwise. Amdeberhan–Chen–Moll–Sagan conjecture. Suppose is an integer and is an odd integer. There exist integers and such that and
The paper states that the preceding valuation results prove this conjecture; the parser supplies no independent resolution evidence beyond that assertion.
Sources & referencesView supporting material
Primary source
Soohyun Park, “Arithmetic properties of generalized Fibonacci sequences”, arXiv:1407.8086 (2014).
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