7 problems

Let $\widehat Y^{i\infty}_{\vec{\eta}}(\sigma|\beta)$ denote the degeneration at the cusp $\tau\to i\infty$ of the integrals $Y^\tau_{\vec{\eta}}(\sigma|\beta)$, depending on Mande…

Equivariant iterated Eisenstein integrals are a construction of non-holomorphic modular forms, and modular graph forms arise in the low-energy expansion of closed-string scattering…

Let $F$ be a combination of modular graph forms of homogeneous modular weight $(|A|,|B|)$. Applying $|B|$ Maaß derivatives and using momentum-conservation identities, holomorphic s…

Let $\widehat Y^{i\infty}_{\vec\eta}(\sigma|\rho)$ be the cusp degeneration of the four-point generating series, with parameters $\eta_i$, their combinations $\eta_{ij\cdots}$, con…

Let \beta^{\rm sv}\!\left[\begin{smallmatrix}j_1&j_2\\#2\end{smallmatrix}\right] and {\cal E}^{\rm sv}\!\left[\begin{smallmatrix}j_1&j_2\\#2\end{smallmatrix}\right] denote dept…

Let $Y^\tau_{\vec\eta}$ be the generating series constructed from the genus-one integrals, and let modular graph forms (MGFs) denote the modular graph objects generated by their…

Let $\widehat{\cal I}^{(4,0)}_{1234}(s_{ij},\tau)$ be the closed integral form introduced for the modular-weight $(4,0)$ quantity associated with the four-point heterotic-string am…