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References
Erdős, P. &Schinzel, A., On the greatest prime factor of\(\prod _{k = 1}^x f(k)\).Acta Arith., 55 (1990), 191–200.
Hall, R. R. &Tenenbaum, G.,Divisors. Cambridge Tracts in Math., 90. Cambridge Univ. Press, Cambridge-New York, 1988.
Hooley, C., On a new technique and its applications to the theory of numbers.Proc. London Math. Soc. (3), 38 (1979), 115–151.
Hildebrand, A., Integers free of large prime factors in short intervals.Quart. J. Math. Oxford Ser. (2), 36 (1985), 57–69.
Nair, M., Multiplicative functions of polynomial values in short intervals.Acta Arith., 62 (1992), 257–269.
Rédei, L.,Algebra, Vol. 1. Pergamon Press, Oxford-New York-Toronto, 1967.
Shiu, P., A Brun-Titchmarsh theorem for multiplicative functions.J. Reine Angew. Math., 313 (1980), 161–170.
Tenenbaum, G., Sur une question d'Erdős et Schinzel, inA Tribute to Paul Erdős (A. Baker, B. Bollobás and A. Hajnal, eds.), pp. 405–443. Cambridge Univ. Press, Cambridge, 1990.
—, Sur une question d'Erdős et Schinzel, II.Invent. Math., 99 (1990), 215–224.
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Nair, M., Tenenbaum, G. Short sums of certain arithmetic functions. Acta Math. 180, 119–144 (1998). https://doi.org/10.1007/BF02392880
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DOI: https://doi.org/10.1007/BF02392880