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We compare two classes of functions arising from genus-one superstring amplitudes: modular and holomorphic graph functions.
The Bloch-Wigner-Ramakrishnan polylogarithm function
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D. Zagier · 1994
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Knots and numbers in ϕ 4 \phi^{4} theory to 7 7 loops and beyond
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The low-energy expansion of the one loop type II superstring amplitude
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A. B. Goncharov and Yu. I. Manin · 2004
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Rational convex cones and cyclotomic multiple zeta values. 2004, [arXiv:math/0410306 [math.AG]]
T. Terasoma · 2004
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Groupes fondamentaux motiviques de Tate mixte
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Iterated integrals of modular forms and noncommutative modular symbols
Y.I. Manin · 2006
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Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
M. B. Green, J. G. Russo, and P. Vanhove · 2008
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Multiple zeta values and periods of moduli spaces 𝔐 ¯ 0 , n \overline{\mathfrak{M}}_{0,n}
F. Brown · 2009
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Mixed Tate motives over ℤ \mathbb{Z}
F. Brown · 2012
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F. Brown and O. Schnetz · 2012
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Motivic multiple zeta values and superstring amplitudes
O. Schlotterer and S. Stieberger · 2013
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All order α ′ \alpha^{\prime} -expansion of superstring trees from the Drinfeld associator
J. Broedel, O. Schlotterer, S. Stieberger, and T. Terasoma · 2014
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Single-valued motivic periods and multiple zeta values
F. Brown · 2014
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Hierarchy of modular graph identities
E. D’Hoker and J. Kaidi · 2016
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Analogues elliptiques des nombres multizétas
B. Enriquez · 2016
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Elliptic multiple zeta values
N. Matthes · 2016
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Single-valued multiple zeta values in genus 1 superstring amplitudes
F. Zerbini · 2016
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J. Broedel, N. Matthes, G. Richter, and O. Schlotterer · 2017
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On the modular structure of the genus-one type II superstring low energy expansion
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Supermoduli space is not projected
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N. Matthes · 2017
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Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
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