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Timeline for Kronecker theorems on linear forms.

Current License: CC BY-SA 3.0

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Mar 1, 2012 at 22:12 history edited Gerry Myerson CC BY-SA 3.0
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Mar 1, 2012 at 9:40 comment added duje Theorem 1C is a special case of Theorem 1E from the same book by Schmidt. Its proof in given on page 29 and it is atributed to Dirichlet (1842). On page 32, it is shown that the statement of Theorems 1C and 1E is valid for all Q > 1 (not necessary integers).
Mar 1, 2012 at 1:54 comment added Stopple Given $\alpha_1,\ldots,\alpha_n$ real I'm looking for integers $q_1,\ldots, q_n$ such that $|\alpha_1q_1+\ldots\alpha_nq_n-1|$ is 'small', where I'm not sure what can be achieved. Thanks for the reference to Schmidt; I'll look there tomorrow.
Mar 1, 2012 at 1:03 history answered Gerry Myerson CC BY-SA 3.0