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- W2936402092 abstract "The expansion of a modular graph function on a torus of modulus $tau$ near the cusp is given by a Laurent polynomial in $y= pi Im (tau)$ with coefficients that are rational multiples of single-valued multiple zeta-values, apart from the leading term whose coefficient is rational and exponentially suppressed terms. We prove that the coefficients of the non-leading terms in the Laurent polynomial of the modular graph function $D_N(tau)$ associated with a melon graph is free of irreducible multiple zeta-values and can be written as a polynomial in odd zeta-values with rational coefficients for arbitrary $N geq 0$. The proof proceeds by expressing a generating function for $D_N(tau)$ in terms of an integral over the Virasoro-Shapiro closed-string tree amplitude." @default.
- W2936402092 created "2019-04-25" @default.
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- W2936402092 date "2019-04-13" @default.
- W2936402092 modified "2023-09-23" @default.
- W2936402092 title "Absence of irreducible multiple zeta-values in melon modular graph functions" @default.
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- W2936402092 doi "https://doi.org/10.48550/arxiv.1904.06603" @default.
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