Some exact formulas on quaternion unitary groups

DOI10.1515/crll.1999.509.67zbMath0918.11027OpenAlexW2065983788MaRDI QIDQ4231196

Goro Shimura

Publication date: 15 March 1999

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.1999.509.67

zbMATH Keywords

Eisenstein seriesmass formulaquaternion unitary groupquaternionic Hermitian form

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (12)

Superspecial abelian varieties over finite prime fields ⋮ Variations of mass formulas for definite division algebras ⋮ On the mass formula of supersingular abelian varieties with real multiplications ⋮ Siegel series for skew Hermitian forms over quaternion algebras ⋮ On the standard \(L\)-function attached to quaternionic modular forms ⋮ Degenerate principal series representations for quaternionic unitary groups ⋮ On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups ⋮ Newton polygons arising from special families of cyclic covers of the projective line ⋮ On the local factors of irreducible representations of quaternionic unitary groups ⋮ Group schemes and local densities. ⋮ On an exact mass formula of Shimura ⋮ Formal degrees and the local theta correspondence: The quaternionic case

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