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An estimate for the number of consecutive quadratic residues

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Abstract

The problem of estimation of the maximal number H of consecutive integer numbers such that they all are either quadratic residues or quadratic nonresidues modulo a prime number p is considered.

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References

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Original Russian Text © T.A. Preobrazhenskaya, 2009, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2009, Vol. 64, No. 1, pp. 24–28.

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Preobrazhenskaya, T.A. An estimate for the number of consecutive quadratic residues. Moscow Univ. Math. Bull. 64, 24–28 (2009). https://doi.org/10.3103/S0027132209010069

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  • DOI: https://doi.org/10.3103/S0027132209010069

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