Eisenstein series on the four-dimensional hyperbolic space
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Publication:1110566
DOI10.1016/0022-314X(88)90016-9zbMath0657.10026MaRDI QIDQ1110566
Publication date: 1988
Published in: Journal of Number Theory (Search for Journal in Brave)
duality theoremliftingsRankin-Selberg methodnonanalytic Eisenstein seriesKronecker limit formulaHecke-operatorsfour dimensional quaternionic upper half spacenonanalytic theta seriesquaternionic Eisenstein series
Related Items (8)
Monogenic modular forms in two and several real and complex vector variables ⋮ Conjugate harmonic functions of Fueter type ⋮ Fourier expansion of light‐cone Eisenstein series ⋮ A Selberg trace formula for hypercomplex analytic cusp forms ⋮ \(k\)-hypermonogenic automorphic forms ⋮ Theta correspondence for Eisenstein series ⋮ A new class of hypercomplex analytic cusp forms ⋮ On a new type of Eisenstein series in Clifford analysis
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- Modular forms on half-spaces of quaternions
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- The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions
- Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
- Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
- Die Poincaré-Gruppe
- The elementary divisor theory over the Hurwitz order of integral quaternions
- Dirichletsche Reihen und Modulformen zweiten Grades
- On a Certain Function Analogous to log|η(z)|
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