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arXiv · 1909.03476

Period Relations for Standard $L$-functions of Symplectic Type

Dihua Jiang·Binyong Sun·Fangyang Tian
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Abstract

This article is to understand the critical values of $L$-functions $L(s,\Pi\otimes \chi)$ and to establish the relation of the relevant global periods at the critical places. Here $\Pi$ is an irreducible regular algebraic cuspidal automorphic representation of $\mathrm{GL}_{2n}(\mathbb A)$ of symplectic type and $\chi$ is a finite order automorphic character of $\mathrm{GL}_1(\mathbb A)$, with $\mathbb A$ is the ring of adeles of a number field $\mathrm k$.

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Dihua Jiang, Binyong Sun, Fangyang Tian. 2019-09-08. Period Relations for Standard $L$-functions of Symplectic Type. https://arxiv.org/abs/1909.03476

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