Defines Epstein vector zeta functions associated to ADE root lattices and derives a matrix Riemann-type functional equation that holds precisely on the subspace of C-invariant vectors, with a full classification of such lattices and subspaces.
”An introduction to the theory of zeta-functions of root systems.” Algebraic and Analytic Aspects of Zeta Functions and L-functions, G
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Epstein vector zeta functions related to the ADE Lie algebras
Defines Epstein vector zeta functions associated to ADE root lattices and derives a matrix Riemann-type functional equation that holds precisely on the subspace of C-invariant vectors, with a full classification of such lattices and subspaces.