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In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.
Antanas Laurinčikas, and Renata Macaitienė. "Universality results on Hurwitz zeta-functions." Banach Center Publications 108.1 (2016): 161-172. <http://eudml.org/doc/286587>.
@article{AntanasLaurinčikas2016, abstract = {In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.}, author = {Antanas Laurinčikas, Renata Macaitienė}, journal = {Banach Center Publications}, keywords = {Hurwitz zeta-functions; universality; shifts; -functions}, language = {eng}, number = {1}, pages = {161-172}, title = {Universality results on Hurwitz zeta-functions}, url = {http://eudml.org/doc/286587}, volume = {108}, year = {2016}, }
TY - JOUR AU - Antanas Laurinčikas AU - Renata Macaitienė TI - Universality results on Hurwitz zeta-functions JO - Banach Center Publications PY - 2016 VL - 108 IS - 1 SP - 161 EP - 172 AB - In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed. LA - eng KW - Hurwitz zeta-functions; universality; shifts; -functions UR - http://eudml.org/doc/286587 ER -