On the Ramanujan conjecture over number fields
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🧮 math.NT
math.RT
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conjecturenumberramanujananalyticarbitrarybestboundsextend
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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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