A probabilistic study on the value-distribution of Dirichlet series attached to certain cusp forms

DOI10.1017/S0027763000001720zbMath0675.10017OpenAlexW1510813556MaRDI QIDQ3829612

Kohji Matsumoto

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000001720

zbMATH Keywords

Euler productsvalue-distributionzeta-functions defined by Hecke operators

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Hurwitz and Lerch zeta functions (11M35)

Related Items (9)

The density function for the value-distribution of the Lerch zeta-function and its applications ⋮ Asymptotic probability measures of zeta-functions of algebraic number fields ⋮ On fractional power moments of \(L\)-functions associated with certain cusp forms ⋮ Discrete universality of \(L\)-functions for new forms ⋮ A limit theorem for the arguments of zeta-functions of certain cusp forms ⋮ On fractional power moments of zeta-functions associated with certain cusp forms ⋮ On certain mean values of logarithmic derivatives of \(L\)-functions and the related density functions ⋮ On Dirichlet series related to certain cusp forms ⋮ On the zeros of linear combinations of the Matsumoto zeta-functions

Cites Work

• Approximative Funktionalgleichungen und Mittelwertsätze für Dirichletreihen, die Spitzenformen assoziiert sind
• La conjecture de Weil. I
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
• Mean motions and values of the Riemann zeta function
• Formes modulaires de poids $1$

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