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3 papers
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…
Schottky-Kronecker forms and hyperelliptic polylogarithms
Konstantin Baune, Johannes Broedel, Egor Im +2
Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronec…