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On mixed joint discrete universality for a class of zeta-functions. II

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Abstract

We investigate the mixed joint discrete value distribution and the mixed joint discrete universality for the pair consisting of a rather general form of zeta-function with an Euler product and a periodic Hurwitz zeta-function with transcendental parameter. The common differences of relevant arithmetic progressions are not necessarily the same. Also some generalizations are given. For this purpose, certain arithmetic conditions on the common differences are used.

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Correspondence to Roma Kačinskaitė.

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Dedicated to Professors Antanas Laurinčikas and Eugenijus Manstavičius on the occasion of their 70th birthdays

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Kačinskaitė, R., Matsumoto, K. On mixed joint discrete universality for a class of zeta-functions. II. Lith Math J 59, 54–66 (2019). https://doi.org/10.1007/s10986-019-09432-1

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