Bagchi’s Theorem for Families of Automorphic Forms

DOI10.1007/978-3-319-59969-4_8zbMath1497.11233arXiv1702.05610OpenAlexW2595287640MaRDI QIDQ5038229

Emmanuel Kowalski

Publication date: 30 September 2022

Published in: Exploring the Riemann Zeta Function (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05610

zbMATH Keywords

Voronin's universality theoremBagchi's theorem

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (4)

Universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function ⋮ The distribution of values of zeta and \(L\)-functions ⋮ A spectral universality theorem for Maass \(L\)-functions ⋮ The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions

Cites Work

• The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions.
• The universality of zeta-functions attached to certain cusp forms
• Families of L-Functions and Their Symmetry
• On modular signs
• The distribution of the eigenvalues of Hecke operators
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
• Integral moments of L-functions
• Local spectral equidistribution for Siegel modular forms and applications
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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