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arXiv · 1710.08885

Absolute convergence of the twisted Arthur-Selberg trace formula

Abhishek Parab
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Abstract

We show that the distributions occurring in the geometric and spectral side of the twisted Arthur-Selberg trace formula extend to non-compactly supported test functions. The geometric assertion is modulo a hypothesis on root systems proven when the group is split. The result extends the work of Finis-Lapid (and Müller, spectral side) to the twisted setting. We use the absolute convergence to give a geometric interpretation of sums of residues of certain Rankin-Selberg L-functions.

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Abhishek Parab. 2019-02-11. Absolute convergence of the twisted Arthur-Selberg trace formula. https://doi.org/10.1007/s00209-019-02290-0

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