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Value-Distribution of L-Functions

Value-Distribution of L-Functions

Jörn Steuding

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Editorial:
Springer Nature B.V.
Año de edición:
2007
Materia
Probabilidad y estadística
ISBN:
9783540265269
96,75 €
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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.

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