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Vectors of given diophantine type |
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| Authors: | R. K. Akhundzhanov N. G. Moshchevitin |
| Affiliation: | (1) M. V. Lomonosov Moscow State University, Moscow |
| Abstract: | For a function ?(y) = o(y ?1/s ), y → ∞, we prove the existence of vectors ?∈? s admitting, for any ε > 0, infinitely many simultaneous ?(1 + ε-approximations, but not admitting any simultaneous ?-approximations. |
| Keywords: | vector of Diophantine type simultaneous Diophantine approximations Euclidean space simultaneous ϕ -approximation |
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