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math-ph2018
Modular and holomorphic graph function from superstring amplitudes
Federico Zerbini
We compare two classes of functions arising from genus-one superstring amplitudes: modular and holomorphic graph functions. We focus on their analytic properties, we recall the kno…
math-ph2018
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
Federico Zerbini
In this PhD thesis we study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both class…