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arXiv · 1003.0559

On the Ramanujan conjecture over number fields

Valentin Blomer·Farrell Brumley
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Abstract

We extend to an arbitrary number field the best known bounds towards the Ramanujan conjecture for the groups GL(n), n=2, 3, 4. In particular, we present a technique which overcomes the analytic obstacles posed by the presence of an infinite group of units.

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Valentin Blomer, Farrell Brumley. 2010-03-02. On the Ramanujan conjecture over number fields. https://arxiv.org/abs/1003.0559

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