Browsing by Subject "Mutliplicative"
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Item Multiplicative and dynamical analysis on idèles and idèle class groups(2016-05) Hughes, Adam Miles; Vaaler, Jeffrey D.; Ciperiani, Mirela, 1976-; Mohammadi, Amir; Allcock, Daniel; Sinclair, Christopher; Widmer, MartinWe prove an extension of a result due to Allcock and Vaaler from 2009. In the main theorem we show that an idèle group associated to Q-bar is naturally dense in a Banach algebra normed by the Weil height. We establish bounds for the dynamics of generic idèlic points of a field modulo the diagonally-embedded multiplicative groups of the associated fields.