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• W2952567163 abstract "In this paper we study the Mixed Littlewood Conjecture with pseudo-absolute values. We show that if p is a prime and D is a pseudo-absolute value sequence satisfying mild conditions then then the infimum over natural numbers n of the quantity n.|n|_p.|n|_D.||nx|| equals 0 for all real x. Our proof relies on a measure rigidity theorem due to Lindenstrauss and lower bounds for linear forms in logarithms due to Baker and Wustholz. We also deduce the answer to the related metric question of how fast the infimum above tends to zero, for almost every x." @default.
• W2952567163 created "2019-06-27" @default.
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• W2952567163 date "2010-12-01" @default.
• W2952567163 modified "2023-09-27" @default.
• W2952567163 title "The mixed Littlewood conjecture for pseudo-absolute values" @default.
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