A Jensen–Rohrlich type formula for the hyperbolic 3-space

DOI10.1090/tran/7484zbMath1452.11042arXiv1804.07930OpenAlexW2963253744MaRDI QIDQ4633627

Anna-Maria von Pippich, Sebastián Daniel Herrero, Árpad Tóth, Özlem Imamoḡlu

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07930

zbMATH Keywords

Eisenstein seriesDedekind zeta functionDedekind eta functionfull modular group

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Other groups and their modular and automorphic forms (several variables) (11F55) Dedekind eta function, Dedekind sums (11F20) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

KRONECKER LIMIT FUNCTIONS AND AN EXTENSION OF THE ROHRLICH–JENSEN FORMULA ⋮ AN ANALYTIC PERSPECTIVE OF WEIL RECIPROCITY ⋮ Kronecker's first limit formula for Kleinian groups ⋮ AN EXTENSION OF ROHRLICH’S THEOREM TO THE -FUNCTION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The arithmetic and geometry of some hyperbolic three manifolds
• Regularized theta lifts and Niebur-type Poincaré series on \(n\)-dimensional hyperbolic space
• Harmonic Function Theory
• Generalized arithmetic intersection numbers
• Fourier expansion of Eisenstein series on the Hilbert modular group and Hilbert class fields
• A modular version of Jensen's formula
• On a Certain Function Analogous to log|η(z)|

This page was built for publication: A Jensen–Rohrlich type formula for the hyperbolic 3-space