2 papers
math.PR2023
Some notes on moment inequalities for heavy-tailed distributions
Paul Buterus, Holger Sambale
We investigate the relation between moments and tails of heavy-tailed (in particular, Pareto-type) distributions. We also discuss the sharpness of our results in a number of exampl…
math.NT2018
Small Values of Indefinite Diagonal Quadratic Forms at Integer Points in at least five Variables
Paul Buterus, Friedrich Götze, Thomas Hille
For any we derive effective estimates for the size of a non-zero integral point solving the Diophantine inequality $\lvert Q[…