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math.NT2018★ 4 cited
Gaussian Behavior in Zeckendorf Decompositions From Lattices
Eric Chen, Robin Chen, Lucy Guo +4
Zeckendorf's Theorem states that any positive integer can be written uniquely as a sum of non-adjacent Fibonacci numbers. We consider higher-dimensional lattice analogues, where a…
math.NT2016
Generic Extensions and Generic Polynomials for Linear Algebraic Groups
Eric Y. Chen, J. T. Ferrara, Liam Mazurowski
We show the existence of and explicitly construct generic polynomials for various groups, over fields of positive characteristic. The methods we develop apply to a broad class of c…