3 papers
math.NT2026
Non-linear geometry of multiple zeta values
Francis Brown
Since their rediscovery in the 1990s, multiple zeta values have become ubiquitous in many areas of mathematics and physics. Their standard integral and sum representations can usua…
math.NT2026
Mellin transforms, transfinite diameter and rational approximations of integrals
Francis Brown
We establish a higher-dimensional irrationality criterion for periods which are presented as Mellin integrals depending on many parameters. The criterion is stated as an upper boun…
math.NT2026
On cellular rational approximations to
Francis Brown, Wadim Zudilin
We analyse a certain family of cellular integrals, which are period integrals on the moduli space of curves of genus zero with eight marked points, and give ris…