Function Spaces Proceedings Of The Sixth Conference

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Proceedings of the Sixth Australasian Conference on Interactive Entertainment

IE '09: The 6th Australasian Conference on Interactive Entertainment Dec 17, 2009-Dec 19, 2009 Sydney, Australia. You can view more information about this proceeding and all of ACM�s other published conference proceedings from the ACM Digital Library: http://www.acm.org/dl.
Value-Distribution of L-Functions

These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors’ approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.