ON MIXED JOINT DISCRETE UNIVERSALITY FOR A CLASS OF ZETA-FUNCTIONS: A FURTHER GENERALIZATION
Author(s) -
Roma Kačinskaitė,
Kohji Matsumoto
Publication year - 2020
Publication title -
mathematical modelling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2020.11751
Subject(s) - mathematics , universality (dynamical systems) , riemann zeta function , pure mathematics , generalization , mathematical analysis , physics , quantum mechanics
We present the most general at this moment results on the discrete mixed joint value-distribution (Theorems 5 and 6) and the universality property (Theorems 3 and 4) for the class of Matsumoto zeta-functions and periodic Hurwitz zeta-functions under certain linear independence condition on the relevant parameters, such as common dierences of arithmetic progressions, prime numbers etc.
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