Let denote the Grothendieck ring of -varieties with the Lefschetz class inverted. We show that there exists a K3 surface over such that the motivic zeta function regarded as an element in is not a rational function in , thus disproving a conjecture of Denef and Loeser.
"Irrationality of motivic zeta functions." Duke Math. J. 169 (1) 1 - 30, 15 January 2020. https://doi.org/10.1215/00127094-2019-0035