Mariia Dospolova

collaborators

3 papers

math.NT2023

A new Andrews--Crandall-type identity and the number of integer solutions to $x^{2} + 2 y^{2} + 2 z^{2} = n$

Mariia Dospolova, Ekaterina Kochetkova, Eric T. Mortenson

Using a higher-dimensional analog of an identity known to Kronecker, we discover a new Andrews--Crandall-type identity and use it to count the number of integer solutions to $x^2+2…

math.PR2023

Mixed volume of infinite-dimensional convex compact sets

Mariia Dospolova

Let $K$ be a convex compact $GB$ -subset of a separable Hilbert space $H$ . Denote by $Spec_{k} K$ the set ${(ξ_{1} (h), \dots, ξ_{k} (h)) : h \in K} \subset R^{k},$ whe…

math.MG2021

Discrete intrinsic volumes

Mariia Dospolova

For a convex lattice polytope $P \subset R^{d}$ of dimension $d$ with vertices in $Z^{d}$ , denote by $L (P)$ its discrete volume which is defined as the number of integer…

A new Andrews--Crandall-type identity and the number of integer solutions to x2+2y2+2z2=n

Mixed volume of infinite-dimensional convex compact sets

Discrete intrinsic volumes

A new Andrews--Crandall-type identity and the number of integer solutions to $x^{2} + 2 y^{2} + 2 z^{2} = n$