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We establish the Langlands-Shahidi method over a global field ofcharacteristic p. We then focus on the unitary groups and prove global andlocal Langlands functoriality to general linear groups for genericrepresentations. Main applications are to the Ramanujan Conjecture and RiemannHypothesis.

The Langlands-Shahidi method over function fields: Ramanujan Conjecture and Riemann Hypothesis for the unitary groups