Using the properties of primitive characters, Gauss sums, and the Ramanujan sum, we study two hybrid mean values of Gauss sums and generalized Bernoulli numbers and give two asymptotic formulas.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 6, pp. 848–854, June, 2012.
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Liu, H., Gao, J. On the Gauss sums and generalized Bernoulli numbers. Ukr Math J 64, 971–978 (2012). https://doi.org/10.1007/s11253-012-0692-3
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DOI: https://doi.org/10.1007/s11253-012-0692-3