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universality
Items for "universality"
Universality for generalized Euler products
In the paper, following ideas of Bohr and Bagchi, we present a new equivalent formulation of the Riemann hypothesis for the Riemann zeta-function ζ(s) in terms of approximation properties of certain Euler products (different from the Euler product representation for ζ(s))...
Keywords: equivalent for the Riemann hypothesis, generalized Euler products, universality
03/2006 | Analysis, Oldenbourg WissenschaftsverlagA discrete universality theorem for general Dirichlet series
We prove a discrete universality theorem for functions given by general Dirichlet series, satisfying several conditions.
Keywords: general Dirichlet series, probability measure, universality
03/2006 | Analysis, Oldenbourg WissenschaftsverlagOn the zeros of T-universal functions
Let {zn} be a sequence of complex numbers with zn → ∞ (n → ∞)...
Keywords: entire functions, universality, approximation by translates, Birkhoff functions, distribution of zeros
03/2006 | Analysis, Oldenbourg WissenschaftsverlagThe joint universality for periodic Hurwitz zeta-functions
We prove a joint universality theorem for the Hurwitz zeta-functions with periodic coefficients.
Keywords: Hurwitz zeta-functions, joint universality, periodic Hurwitz zeta-function, universality
03/2006 | Analysis, Oldenbourg WissenschaftsverlagMacLane functions with prescribed zeros and interpolation properties
An entire function φ is called universal in the sense of MacLane (for short MacLane function) if for any preassigned entire function f a suitable sequence φ(nk) of derivatives of φ converges to f locally uniformly in the whole plane...
Keywords: spaces of entire functions, universality, approximation by derivatives, zeros, interpolation
02/2007 | Analysis, Oldenbourg Wissenschaftsverlag