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1. CJM 2014 (vol 66 pp. 1078)

Lanphier, Dominic; Skogman, Howard
 Values of Twisted Tensor \$L\$-functions of Automorphic Forms Over Imaginary Quadratic Fields Let \$K\$ be a complex quadratic extension of \$\mathbb{Q}\$ and let \$\mathbb{A}_K\$ denote the adeles of \$K\$. We find special values at all of the critical points of twisted tensor \$L\$-functions attached to cohomological cuspforms on \$GL_2(\mathbb{A}_K)\$, and establish Galois equivariance of the values. To investigate the values, we determine the archimedean factors of a class of integral representations of these \$L\$-functions, thus proving a conjecture due to Ghate. We also investigate analytic properties of these \$L\$-functions, such as their functional equations. Keywords:twisted tensor \$L\$-function, cuspform, hypergeometric seriesCategories:11F67, 11F37

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