In the base phi representation any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two consecutive digits is always 0. In this self-contained paper we give a new, and short proof of the recursive structure of the base phi representations of the natural numbers.
Base phi representations and golden mean beta-expansions
Crystalline representations of G_Qp^a with coefficients
On the number of representations by certain octonary quadratic forms with coefficients 1, 2, 3, 4 and 6
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