functional equation in a sentence

Examples

1. The global intertwining operator appearing in the functional equation of Langlands'theory of Eisenstein series can be decomposed as a product of local intertwining operators.
2. The resulting Rankin-Selberg L-functions satisfy a number of analytic properties, their functional equation being first proved via the Langlands Shahidi method.
3. The Dedekind zeta function satisfies a functional equation relating its values at " s " and 1 & minus; " s ".
4. *PM : example of solving a functional equation, id = 7359-- WP guess : example of solving a functional equation-- Status:
5. *PM : example of solving a functional equation, id = 7359-- WP guess : example of solving a functional equation-- Status:
6. "' J�nos DezsQ
   Acz�l "'(; born 26 December 1924 in Budapest ) is a Canadian mathematician, specializing in functional equations.
7. It includes Nonlinear Functional Analysis, Functional Equations, Approximation Theory, Analysis on Manifolds, Calculus of Variations, Inequalities, Metric Geometry and their Applications.
8. There are also functional equations for the local zeta-functions, arising at a fundamental level for the ( analogue of ) Poincar?duality in �tale cohomology.
9. The consequences for the functional equation were worked out by Serre and Deligne in the later 1960s; the functional equation itself has not been proved in general.
10. The consequences for the functional equation were worked out by Serre and Deligne in the later 1960s; the functional equation itself has not been proved in general.