Random lattice vectors in a set of size O(n)

Abstract

We adopt the sieve ideas of Schmidt and Södergren in order to study the statistics of vectors of a random lattice of dimension n contained in a set of volume O(n). We also give some sporadic applications of our results to number theory.

Appendix added

References in corpus (2)

• On the value distribution of the Epstein zeta function in the critical strip
• On the location of the zero-free half-plane of a random Epstein zeta function