Geodesic
Diophantine approximation on the curves with non--monotonic error function in the $p$-adic case
Čebyševskij sbornik, Tome 11 (2010) no. 1, pp. 74-80

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It is shown that a normal (according to Mahler) curve in $\mathbb Z^n_p$ satisfies a convergent Khintchine Theorem with a non-monotonic error function. 
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     author = {Natalia Budarina},
     title = {Diophantine approximation on the curves with non--monotonic error function in the $p$-adic case},
     journal = {\v{C}eby\v{s}evskij sbornik},
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     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2010_11_1_a8/}
}
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Natalia Budarina. Diophantine approximation on the curves with non--monotonic error function in the $p$-adic case. Čebyševskij sbornik, Tome 11 (2010) no. 1, pp. 74-80. http://geodesic.mathdoc.fr/item/CHEB_2010_11_1_a8/