On p-adic L-functions for ${\rm GL}(n)\times{\rm GL}(n-1)$ over totally real fields

Fabian Januszewski

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arXiv · 1111.1818

On p-adic L-functions for ${\rm GL}(n)\times{\rm GL}(n-1)$ over totally real fields

Fabian Januszewski

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Abstract

We refine and extend previous constructions of $p$-adic $L$-functions for Rankin-Selberg convolutions on $\GL(n)\times\GL(n-1)$ for regular algebraic representations over totally real fields. We also prove an intrinsic functional equation for this $p$-adic $L$-function, which will be of interest in further study of its arithmetic properties.

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BibTeX RIS

Fabian Januszewski. 2011-11-08. On p-adic L-functions for ${\rm GL}(n)\times{\rm GL}(n-1)$ over totally real fields. https://arxiv.org/abs/1111.1818

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