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| by: A. Y. Khinchin |
Three Pearls of Number Theory
by: A. Y. Khinchin
3 diverting puzzles involve the proof of a basic law governing the world of numbers known to be correct in all tested case the problem is to prove that the law is always correct. The challenges concern van der Waerdens theorem on arithmetic progressions, the Landau-Schnirelmann hypothesis and Manns theorem, and a solution to Warings problem. Proofs and explanations of the answers included.
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