On certain arithmetic functions \(\tilde M(s; z_{1}; z_{2})\) associated with global fields: analytic properties

DOI10.2977/PRIMS/36zbMath1234.11119MaRDI QIDQ533374

Yasutaka Ihara

Publication date: 3 May 2011

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

critical point\(L\)-functionarithmetic functionprobabilistic inequalityPlancherel equality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characteristic functions; other transforms (60E10) Arithmetic ground fields for curves (14H25) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42)

Related Items (1)

On the Value-Distribution of Logarithmic Derivatives of Dirichlet L-Functions

Cites Work

• On ``\(M\)-functions closely related to the distribution of \(L'/L\)-values
• Distribution Functions and the Riemann Zeta Function
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