On a GL(3) analog of \(|{} \eta{} (z)|\)

DOI10.1016/0022-314X(92)90038-QzbMath0741.11025OpenAlexW2090619606MaRDI QIDQ1183262

Isaac Efrat

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-314x(92)90038-q

zbMATH Keywords

cubic fieldsDedekind zeta functionsKronecker's limit formulaEpstein zeta functionmaximal parabolic Eisenstein series\(GL(3)\) analogueconstant Laurent coefficient

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other groups and their modular and automorphic forms (several variables) (11F55) Zeta functions and (L)-functions of number fields (11R42) Dedekind eta function, Dedekind sums (11F20)

Related Items (5)

Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\) ⋮ The BCC Lattice in a Long-Range Interaction System ⋮ Height of flat tori ⋮ Theta correspondence for Eisenstein series ⋮ A Kronecker limit formula for totally real fields and arithmetic applications

Cites Work

• Automorphic forms on GL(3,\({\mathbb{R}})\)
• An adelic setting of some functions analogous to \(\log|\eta (z)|)\)
• Determinants of Laplacians and a second limit formula in \(\text{GL}(3)\)
• Bessel Series Expansions of the Epstein Zeta Function and the Functional Equation
• On a Certain Function Analogous to log|η(z)|
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