PV-numbers and sets of multiplicity. (English) Zbl 0248.12004
MSC:
| 11R06 | PV-numbers and generalizations; other special algebraic numbers; Mahler measure |
Online Encyclopedia of Integer Sequences:
Number of ones in the binary expansion of 3^n.Sum of digits of n in bases 2 and 3.
Number of powers of 3 whose binary representation contains exactly n 1’s.
Largest k such that the binary representation of 3^k has exactly n 1’s, or -1 if no such k exists.
References:
| [1] | S. Lang, On a Theorem of Mahler,Mathematika 7 (1960), 139–140. · Zbl 0099.03904 · doi:10.1112/S0025579300001686 |
| [2] | K. Mahler,Lectures on Diophantine Approximations, Notre Dame, 1961. · Zbl 0158.29903 |
| [3] | R. Salem,Algebraic Numbers and Fourier Analysis, Boston, 1963. · Zbl 0126.07802 |
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