2017
Том 69
№ 5

All Issues

On the Average Value of a Generalized Pillai Function over $\mathbb{Z} [i]$ in the Arithmetic Progression

Dadayan Z. Yu., Varbanets P. D.

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Abstract

We construct an asymptotics relation for the average value of the generalized Pillai function in the arithmetic progression.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 835-846.

Citation Example: Dadayan Z. Yu., Varbanets P. D. On the Average Value of a Generalized Pillai Function over $\mathbb{Z} [i]$ in the Arithmetic Progression // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 755–764.

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