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An analogue of Mahler's transference theorem for multiplicative Diophantine approximation | Oleg N. German
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4 Jan 2023 | Abstract: | Khintchine’s and Dyson’s transference theorems can be very easily deduced
from Mahler’s transference theorem. In the multiplicative setting an obstacle
appears, which does not allow deducing the multiplicative transference theorem
immediately from Mahler’s theorem. Some extra considerations are required, for
instance, induction by the dimension. In this paper we propose an analogue of
Mahler’s theorem which implies the multiplicative transference theorem
immediately. | Source: | arXiv, 2301.01646 | Services: | Forum | Review | PDF | Favorites |
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