We construct an asymptotics relation for the average value of the generalized Pillai function in the arithmetic progression.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 6, pp. 755–764, June, 2013.
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Varbanets, P.D., Dadayan, Z.Y. On the Average Value of a Generalized Pillai Function over \( \mathbb{Z} \) [i] in the Arithmetic Progression. Ukr Math J 65, 835–846 (2013). https://doi.org/10.1007/s11253-013-0821-7
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DOI: https://doi.org/10.1007/s11253-013-0821-7