Titlebook: Analytic and Elementary Number Theory; A Tribute to Mathema K. Alladi,P. D. T. A. Elliott,G. Tenebaum Book 1998 Springer-Verlag US 1998 Dis

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On Optimal Structural Segmentation Problem,We construct a Sidon set A ? [1,.] which has ? (. log .). elements and which is maximal in the sense that the inclusion of any other integer from [1, .] destroys the Sidon property.

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Discrete Structural OptimizationLet . be a complex-valued multiplicative function, let . denote a prime and let .(.) be the number of primes not exceeding .. Further put . and suppose that . with some . > 0. For such functions we prove:

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Mark Kac,Gian-Carlo Rota,Jacob T. SchwartzWe show that the problem of representing every odd positive integer as the sum of a squarefree number and a power of 2, is strongly related to the problem of showing that .. divides 2. 1 for “few” primes ..

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