Asymptotic probability measures of zeta-functions of algebraic number fields

DOI10.1016/0022-314X(92)90039-RzbMath0746.11051MaRDI QIDQ1183263

Kohji Matsumoto

Publication date: 28 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

rate of convergencevalue distributionalgebraic number fieldDedekind zeta-functionasymptotic probability

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (10)

On the Value-Distribution of Logarithmic Derivatives of Dirichlet L-Functions ⋮ An M-function associated with Goldbach's problem ⋮ On the density function for the value-distribution of automorphic \(L\)-functions ⋮ The density function for the value-distribution of the Lerch zeta-function and its applications ⋮ Bohr-Jessen process and functional limit theorem ⋮ On the speed of convergence to limit distributions for Hecke L-functions associated with ideal class characters ⋮ On certain mean values of logarithmic derivatives of \(L\)-functions and the related density functions ⋮ On ``\(M\)-functions closely related to the distribution of \(L'/L\)-values ⋮ On \(M\)-functions for the value-distributions of \(L\)-functions ⋮ On the zeros of linear combinations of the Matsumoto zeta-functions

Cites Work

• On some hypersurfaces of high-dimensional tori related with the Riemann zeta-function
• The approximate functional equation for a class of zeta-functions
• Mean motions and values of the Riemann zeta function
• Discrepancy estimates for the value-distribution of the Riemann zeta-function I
• Discrepancy estimates for the value-distribution of the Riemann zeta-function III
• A probabilistic study on the value-distribution of Dirichlet series attached to certain cusp forms
• The Mean Values of Certain Dirichlet Series, I
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