Browsing Mathematics publications (MU) by Subject "Diophantine analysis"
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Nonresidues and primitive roots in Beatty sequences
(Australian Mathematical Society, 2006)We study multiplicative character sums taken on the values of a nonhomogeneous Beatty sequence Bα,β = {⌊αn + β⌋ : n = 1,2,3,…}, where α,β ∈ R, and α is irrational. In particular, our bounds imply that for every fixed ε > ...