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Functional equations for Weng's zeta functions for $(G,P)/\mathbb{Q}$
Functional equations Weng's zeta functions
2010/11/23
It is shown that Weng's zeta functions associated with arbitrary semisimple algebraic groups defined over the rational number field and their maximal parabolic subgroups satisfy the functional equatio...
Testing the functional equations of a high-degree Euler product
the functional equations a high-degree Euler product
2010/11/11
We study the L-functions associated to Siegel modular forms (equivalently, automorphic representations of ${\rm GSp}(4,\mathbb{A}_{\mathbb{Q}})$) both theoretically and numerically. For the L-functio...
Stability of Functional Equations in Several Variables
stability functional equation Jordan homomorphism Lie homomorphism
2007/12/11
We prove a generalization of Hyers' theorem on the stability of approximately additive mapping and a generalization of Badora's theorem on an approximate ring homomorphism. We also obtain a more gener...