A joint discrete limit theorem for Epstein and Hurwitz zeta-functions
Copyright policy )A joint discrete limit theorem for Epstein and Hurwitz zeta-functions
In the paper, we obtain a joint limit theorem on weak convergence for probability measure defined by discrete shifts of the Epstein and Hurwitz zeta-functions. The limit measure is explicitly given. For the proof, some linear independence restriction is required. The proved theorem extends and continues Bohr–Jessen’s classical results on probabilistic characterization of value distribution for the Riemann zeta-function.
- Šiauliai State College Lithuania
- Vilnius University Lithuania
hurwitz zeta-function, Hurwitz zeta-function, \(\zeta (s)\) and \(L(s, \chi)\), QA1-939, haar probability measure, limit theorem, weak convergence, Haar probability measure, Epstein zeta-function, Mathematics, epstein zeta-function
hurwitz zeta-function, Hurwitz zeta-function, \(\zeta (s)\) and \(L(s, \chi)\), QA1-939, haar probability measure, limit theorem, weak convergence, Haar probability measure, Epstein zeta-function, Mathematics, epstein zeta-function
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