5 citations · 9 across the 3 of their papers we have counts for
3 papers · 1 filter
Topological complexity of arithmetic locally symmetric spaces
Mikołaj Frączyk, Sebastian Hurtado, Jean Raimbault
We prove that any arithmetic locally symmetric space is homotopy equivalent to a simplicial complex where the number of simplices is bounded linearly in the volume of the space. Th…
Counting bounded elements of a number field
Mikołaj Frączyk, Gergely Harcos, Péter Maga
We estimate, in a number field, the number of elements and the maximal number of linearly independent elements, with prescribed bounds on their valuations. As a by-product, we obta…
Simultaneous -orderings and minimising volumes in number fields
Jakub Byszewski, Mikołaj Frączyk, Anna Szumowicz
In the paper "On the interpolation of integer-valued polynomials" (Journal of Number Theory 133 (2013), pp. 4224--4232.) V. Volkov and F. Petrov consider the problem of existence o…