E. Eischen

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math.NT2024

Algebraicity of Spin $L$ -functions for $GSp_{6}$

Ellen Eischen, Giovanni Rosso, Shrenik Shah

We prove algebraicity of critical values of certain Spin $L$ -functions. More precisely, our results concern $L (s, I ¨ \otimes I ¨ , S p in)$ for cuspidal automorphic representations $I ¨ $ …

math.NT2024

Archimedean Zeta Integrals for Unitary Groups

Ellen Eischen, Zheng Liu

We derive precise formulas for the archimedean Euler factors occurring in certain standard Langlands $L$ -functions for unitary groups. In the 1980s, Paul Garrett, as well as Ilya P…

Algebraicity of Spin L-functions for GSp6​

Archimedean Zeta Integrals for Unitary Groups

Algebraicity of Spin $L$ -functions for $GSp_{6}$