A. Y. Khinchin, "Three Pearls of Number Theory"
English | 1998 | ISBN: 0486400263 | PDF | pages: 63 | 3,4 mb
These three puzzles involve the proof of a basic law governing the world of numbers known to be correct in all tested cases — the problem is to prove that the law is always correct. Includes van der Waerden's theorem on arithmetic progressions, the Landau-Schnirelmann hypothesis and Mann's theorem, and a solution to Waring's problem. Proofs and explanations of the answers included.
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