1 citations · 1 across the 2 of their papers we have counts for
4 papers
Single-valued polylogarithms for higher genera
Konstantin Baune, Johannes Broedel, Yannis Moeckli
We extend the construction of single-valued polylogarithms at genus one from arXiv:2511.15240 to once-punctured Riemann surfaces of higher genera. The resulting functions have a tr…
A construction of single-valued elliptic polylogarithms
Konstantin Baune, Johannes Broedel, Yannis Moeckli
We establish a general construction of single-valued elliptic polylogarithms as functions on the once-punctured elliptic curve. Our formalism is an extension of Brown's constructio…
Higher-genus multiple zeta values
Konstantin Baune, Johannes Broedel, Egor Im +2
Multiple zeta values arise as special values of polylogarithms defined on Riemann surfaces of various genera. Building on the vast knowledge for classical and elliptic multiple zet…
Higher-genus Fay-like identities from meromorphic generating functions
Konstantin Baune, Johannes Broedel, Egor Im +2
A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the…