Eisensteinreihen für einige arithmetisch definierte Untergruppen von \(SL_ 2({\mathbb{H}})\). (Eisenstein series for certain arithmetically defined subgroups of \(SL_ 2({\mathbb{H}}))\)

DOI10.1007/BF02570884zbMath0725.11024OpenAlexW2333144795MaRDI QIDQ2277508

Volker Krafft, Dietmar Osenberg

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/183781

zbMATH Keywords

Fourier expansionfunctional equationEisenstein seriesDirichlet seriesanalytic continuationMaass wave formsKronecker limit formula

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (6)

Counting and equidistribution in quaternionic Heisenberg groups ⋮ On the special linear group over orders in quaternion division algebras ⋮ Fourier expansion of light‐cone Eisenstein series ⋮ Theta correspondence for Eisenstein series ⋮ On the arithmetic of cross-ratios and generalised Mertens' formulas ⋮ Integral binary Hamiltonian forms and their waterworlds

Cites Work

• Arithmétique des algèbres de quaternions
• On zeta functions of quaternion algebras
• On the \(\zeta\)-functions of a division algebra
• Zeta functions of simple algebras
• Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise
• Automorphe Funktionen von mehreren Veränderlichen und Dirichletsche Reihen. (Automorphic functions of several variables and Dirichlet series)
• Locally free modules over arithmetic orders.
• On a Certain Function Analogous to log|η(z)|
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Eisensteinreihen für einige arithmetisch definierte Untergruppen von \(SL_ 2({\mathbb{H}})\). (Eisenstein series for certain arithmetically defined subgroups of \(SL_ 2({\mathbb{H}}))\)