GLOBAL ZETA FUNCTIONS OF FREUDENTHAL QUARTICS

DOI10.1142/S0129167X02001496zbMath1052.11080OpenAlexW1973327514MaRDI QIDQ4807422

Hiroshi Saito

Publication date: 18 May 2003

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

Full work available at URL: https://doi.org/10.1142/s0129167x02001496

zbMATH Keywords

zeta functionsprehomogeneous vector space

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Prehomogeneous vector spaces (11S90) Zeta functions and (L)-functions (11S40) Galois cohomology of linear algebraic groups (11E72)

Cites Work

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• Explicit form of the zeta functions of prehomogeneous vector spaces
• Some Results on p-Adic Complex Powers
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• On the Convergence of the Adelic Zeta Functions Associated to Irreducible Regular Prehomogeneous Vector Spaces
• On Zeta Functions Associated to Symmetric Matrices, I: An Explicit Form of Zeta Functions
• Some Irreducible Representations of Exceptional Algebraic Groups
• A Classification of Spinors Up to Dimension Twelve
• Squared Möbius function for half-integral matrices and its applications