Value-Distribution of L-Functions
Description
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.
Keywords
MathematicsAlgebraNumber TheoryProbability & StatisticsStochastic ProcessesMathematical AnalysisFunctional AnalysisComplex Analysis
2007Book
Author(s)Jörn Steuding
PublisherSpringer Science & Business Media
ISBN9783540265269
LanguageEnglish
