This paper is devoted to the study of certain zeta distributions associated with simple non-Euclidean Jordan algebras. An explicit form of the corresponding functional equation and Bernstein-type identities is obtained.

Keywords:

Zeta distributions, functional equations, Bernstein polynomials, non-Euclidean Jordan algebras Zeta distributions, functional equations, Bernstein polynomials, non-Euclidean Jordan algebras

MSC Classifications:

11M41, 17C20, 11S90 show english descriptions Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
Simple, semisimple algebras
Prehomogeneous vector spaces 11M41 - Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
17C20 - Simple, semisimple algebras
11S90 - Prehomogeneous vector spaces

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