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- W2213052011 abstract "We define two-dimensional Dirichlet spectrum (with respect to Euclidean norm) as D_2=lambdainmathbf{R} | exists mathbf{v}=(v_1,v_2)in mathbf {R}^2: limsuplimits_{trightarrowinfty} {tcdotpsi_{v}^2(t)}=lambda, where psi_{v}(t)=minlimits_{1leqslant qleqslant t}sqrt{|q v_1|^2+|q v_2|^2} is the two-dimensional irrationality measure function. Our main result states the equality D_2=[0; 2/sqrt{3}]." @default.
- W2213052011 created "2016-06-24" @default.
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- W2213052011 date "2013-06-08" @default.
- W2213052011 modified "2023-09-27" @default.
- W2213052011 title "On two-dimensional Dirichlet spectrum" @default.
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- W2213052011 hasPublicationYear "2013" @default.
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