15 citations · 34 across the 6 of their papers we have counts for
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math.NT2016★ 1 cited
On the Asymptotic Behavior of Variance of PLRS Decompositions
Steven J. Miller, Dawn Nelson, Zhao Pan +1
A positive linear recurrence sequence is of the form with each and , with appropriately chosen initial conditi…
math.NT2014
Generalizing Zeckendorf's Theorem: The Kentucky Sequence
Minerva Catral, Pari Ford, Pamela Harris +2
By Zeckendorf's theorem, an equivalent definition of the Fibonacci sequence (appropriately normalized) is that it is the unique sequence of increasing integers such that every posi…
math.NT2013★ 3 cited
A Variation on Leopoldt's Conjecture: Some Local Units instead of All Local Units
Dawn C. Nelson
Leopoldt's Conjecture is a statement about the relationship between the global and local units of a number field. Approximately the conjecture states that the Z_p-rank of the diago…