28 citations · 42 across the 21 of their papers we have counts for
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math.NT2018
Multiplicative parametric geometry of numbers and transference theorems for lattice exponents
Oleg N. German
In this paper we adapt parametric geometry of numbers developed by Wolfgang Schmidt and Leonard Summerer to a multiplicative setting, and derive a chain of inequalities for the cor…
math.NT2018
Problems concerning Diophantine exponents of lattices
Oleg N. German
In this paper we give a survey of what is currently known about Diophantine exponents of lattices and propose several problems.
math.NT2018
Linear forms of a given Diophantine type and lattice exponents
Oleg N. German
In this paper we prove an existence theorem concerning linear forms of a given Diophantine type and apply it to study the structure of the spectrum of lattice exponents.