M. C. Zimmermann

activity

20152025

most citedCritical even unimodular lattices in the Gaussian core model

2 citations · 3 across the 7 of their papers we have counts for

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math.NT2025

Diameter and Girth of Representation Graphs of Quadratic Forms

Nico Lorenz, Marc Christian Zimmermann

Let $q$ be a non-degenerate quadratic form defined on an $F$ vector space $V$ and $a \in F$ . We consider the Cayley graph on $V$ with generating set ${x \in V ∣ q (x) = a}$ and…

math.NT2023

Cliques in Representation Graphs of Quadratic Forms

Nico Lorenz, Marc Christian Zimmermann

We study cliques in graphs arising from quadratic forms where the vertices are the elements of the module of the quadratic form and two vertices are adjacent if their difference re…

math.NT2015

Steinitz classes and partial genera of unimodular lattices over imaginary-quadratic fields

Michael Jürgens, Marc C. Zimmermann

In this paper we first of all determine all possible genera of (odd and even) definite unimodular lattices over an imaginary-quadratic field. The main questions are whether the par…