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On triviality of uniform Diophantine exponents of lattices
Oleg N. German
In this paper we prove that uniform Diophantine exponents of lattices attain only trivial values.
math.NT2023
An analogue of Mahler's transference theorem for multiplicative Diophantine approximation
Oleg N. German
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 allo…