On Eisenstein series on quaternion unitary groups of degree 2
The author considers Eisenstein series on certain quaternion unitary groups. Using Shimura's method the Fourier expansion can be calculated explicitly. This leads to a direct result on the analytic continuation and functional equation without the use of Langlands' theory. Moreover special values and the explicit formulas yield holomorphic Eisenstein series and Oda's lifted cusp forms. Several tables with numerical examples are included.
scientific article; zbMATH DE number 1336910