A Selberg trace formula for hypercomplex analytic cusp forms

DOI10.1016/j.jnt.2014.09.002zbMath1380.11074OpenAlexW1977598539MaRDI QIDQ479607

Rolf Sören Krausshar, Dennis Grob

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.09.002

zbMATH Keywords

Selberg trace formulaClifford algebrasDirac type operatorsdimension formulas for modular formshyperbolic harmonic functionshypercomplex cusp forms

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Modular and automorphic functions (11F03) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Other groups and their modular and automorphic forms (several variables) (11F55) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

Vahlen groups defined over commutative rings ⋮ Automorphic Forms and Dirac Operators on Conformally Flat Manifolds

Cites Work

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