On joint universality of the Riemann zeta-function and Hurwitz zeta-functions
نویسندگان
چکیده
منابع مشابه
An Effective Universality Theorem for the Riemann Zeta Function
Let 0 < r < 1/4, and f be a non-vanishing continuous function in |z| ≤ r, that is analytic in the interior. Voronin’s universality theorem asserts that translates of the Riemann zeta function ζ(3/4 + z + it) can approximate f uniformly in |z| < r to any given precision ε, and moreover that the set of such t ∈ [0, T ] has measure at least c(ε)T for some c(ε) > 0, once T is large enough. This was...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2012
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2012.05.026