Linear independence « Mathematics under the Microscope

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Linear independence

April 27, 2008 by Alexandre Borovik

Linear independence over $\mathbb{Q}$ of numbers

$\log 2,\quad \log 3, \quad \log 5,\dots$

is equivalent to uniqueness of decomposition of integers into a product of prime numbers. This observation, apparently, belongs to Harad Bohr.

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