preprint Madeline Brandt author Martin Ulirsch author 114697 We define a divisorial motivic zeta function for stable curves with marked points which agrees with Kapranov's motivic zeta function when the curve is smooth and unmarked. We show that this zeta function is rational, and give a formula in terms of the dual graph of the curve. 2019 eng 1907.05125 Brandt, Madeline, and Martin Ulirsch. “Divisorial Motivic Zeta Functions for Marked Stable Curves.” <i>ArXiv:1907.05125</i>, 2019. Brandt M, Ulirsch M. Divisorial motivic zeta functions for marked stable curves. <i>arXiv:190705125</i>. Published online 2019. @article{Brandt_Ulirsch_2019, title={Divisorial motivic zeta functions for marked stable curves}, journal={arXiv:1907.05125}, author={Brandt, Madeline and Ulirsch, Martin}, year={2019} } Brandt, M., &#38; Ulirsch, M. (2019). Divisorial motivic zeta functions for marked stable curves. In <i>arXiv:1907.05125</i>. M. Brandt and M. Ulirsch, “Divisorial motivic zeta functions for marked stable curves,” <i>arXiv:1907.05125</i>. 2019. Brandt, Madeline, and Martin Ulirsch. “Divisorial Motivic Zeta Functions for Marked Stable Curves.” <i>ArXiv:1907.05125</i>, 2019. M. Brandt, M. Ulirsch, ArXiv:1907.05125 (2019). 663242026-07-08T06:50:16Z2026-07-08T06:50:26Z