
Zeta Function Universality
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the universality of zeta-functions is the remarkable property of the Riemann zeta-function and other, similar, functions, such as the Dirichlet L-functions, to approximate arbitrary non-vanishing holomorphic functions arbitrarily well. The universality of the Riemann zeta function was first proven by Sergei Mikhailovitch Voronin in 1975 and is sometimes known as Voronin''s Universality Theorem. A mathematically precise statement of universality for the...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the universality of zeta-functions is the remarkable property of the Riemann zeta-function and other, similar, functions, such as the Dirichlet L-functions, to approximate arbitrary non-vanishing holomorphic functions arbitrarily well. The universality of the Riemann zeta function was first proven by Sergei Mikhailovitch Voronin in 1975 and is sometimes known as Voronin''s Universality Theorem. A mathematically precise statement of universality for the Riemann zeta-function (s) follows.