Zeta Distributions Associated with Some Invariants

DOI10.2307/2374548zbMath0616.12006OpenAlexW2329751477MaRDI QIDQ4724726

Jun-ichi Igusa

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374548

zbMATH Keywords

Mellin transformfunctional equationrational pointsprehomogeneous vector spacestempered distributionmeromorphic continuationEuler productautomorphic formadelesSiegel-Weil formulaTamagawa numbercomplex powersTamagawa measuresisotropy subgroupidelesquasicharacterSchwartz-Bruhat functionzeta distributions for invariants

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Other Dirichlet series and zeta functions (11M41) Adèle rings and groups (11R56) Other analytic theory (11R47)

Related Items (1)

Universal transitivity of reductive prehomogeneous vector spaces with a finite number of orbits

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