Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey

DOI10.1007/978-3-319-59969-4_5zbMath1496.11076OpenAlexW2754728172MaRDI QIDQ5038226

Dorian Goldfeld

Publication date: 30 September 2022

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

Full work available at URL: https://doi.org/10.1007/978-3-319-59969-4_5

zbMATH Keywords

Riemann zeta functionEisenstein seriesautomorphic L-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Holomorphic modular forms of integral weight (11F11) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

Non‐vanishing of symmetric cube L$L$‐functions

Uses Software

• GL(n)pack

Cites Work

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• On a result of G. Pólya concerning the Riemann \(\xi\)-function
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• A new method for lower bounds of \(L\)-functions
• The Riemann hypothesis for certain integrals of Eisenstein series
• Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
• The Trace Formula and Its Applications: An Introduction to the Work of James Arthur
• Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
• A Standard Zero Free Region for Rankin–Selberg L-Functions
• Lower bounds for L -functions at the edge of the critical strip
• Automorphic Forms and L-Functions for the GroupGL(n, R)

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