Singular vectors on manifolds and fractals
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DOI: 10.1007/s11856-021-2220-3
Abstract: We generalize Khintchine's method of constructing totally irrational singular vectors and linear forms. The main result of the paper shows existence of totally irrational vectors and linear forms with large uniform Diophantine exponents on certain… read more here.
Keywords: vectors manifolds; manifolds fractals; singular vectors;