Some properties of arithmetic means of real sequences
P. M. Vasić, J. D. Kečkić, I. B. Lacković, Ž. M. Mitrović (1972)
Matematički Vesnik
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Displaying similar documents to “A remark to a problem of J. Mycielski on arithmetic sequences”
Some properties of arithmetic means of real sequences
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The Legendre symbol has been used to construct sequences with ideal cross-correlation, but it was never used in the arithmetic cross-correlation. In this paper, a new class of generalized Legendre sequences are described and analyzed with respect to their period, distributional, arithmetic cross-correlation and distinctness properties. This analysis gives a new approach to study the connection between the symbol and the arithmetic cross-correlation. In the end of this paper, possible...
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We investigate the reverse mathematical strength of Turing determinacy up to Σ₅⁰, which is itself not provable in second order arithmetic.