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arxiv: 1607.04991 · v1 · pith:DEWYL6ZUnew · submitted 2016-07-18 · 🧮 math.NT · math.RT

Special Values of L-functions for Orthogonal Groups

classification 🧮 math.NT math.RT
keywords l-functionsvaluesannouncementattachedcertaincohomologycriticaldegree-2n
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This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) $\times$ SO(n, n) over $\mathbb Q$ for an even positive integer n. The proof follows from studying the rank-one Eisenstein cohomology for SO(n + 1, n + 1).

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