Joint universality theorems for pairs of automorphic zeta functions

DOI10.1007/S00209-014-1297-3zbMath1307.11059OpenAlexW2076182838MaRDI QIDQ2509943

Hidehiko Mishou

Publication date: 31 July 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-014-1297-3

zbMATH Keywords

Riemann zeta functionjoint universalityautomorphic zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items (8)

Joint value-distribution of \(L\)-functions and discrepancy of Hecke eigenvalues ⋮ The joint universality for pairs of zeta functions in the Selberg class ⋮ Joint approximation by zeta-functions of cusp forms ⋮ Selberg's orthonormality conjecture and joint universality of \(L\)-functions ⋮ Joint universality and generalized strong recurrence with rational parameter ⋮ Joint universality theorem of Selberg zeta functions for principal congruence subgroups ⋮ On joint approximation of analytic functions by nonlinear shifts of zeta-functions of certain cusp forms ⋮ Joint universality of periodic zeta-functions with multiplicative coefficients. II

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