A remark to a problem of J. Mycielski on arithmetic sequences
Štefan Znám (1969)
Colloquium Mathematicae
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Štefan Znám (1969)
Colloquium Mathematicae
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Abercrombie Alex G., Banks William D., Shparlinski Igor E. (2009)
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Qing-Zhong Ji (2011)
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Augustus DeMorgan
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Brahmagupta
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(2009)
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Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)
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Yahya Ould Hamidoune, Alain Plagne (2002)
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John Leslie
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Andrzej Grzegorczyk (1956)
Fundamenta Mathematicae
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Yong-Gao Chen (2005)
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M. Artigue, E. Isambert, M. Perrin, A. Zalc (1978)
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Huijuan WANG, Qiaoyan WEN, Jie ZHANG (2013)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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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...
Ernest S. Croot III (2003)
Acta Arithmetica
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Tomasz Schoen (2011)
Acta Arithmetica
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