Eigenvalue equation for genus two modular graphs
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DOI: 10.1007/jhep02(2019)046
Abstract: A bstractWe obtain a second order differential equation on moduli space satisfied by certain modular graph functions at genus two, each of which has two links. This eigenvalue equation is obtained by analyzing the variations… read more here.
Keywords: genus two; eigenvalue equation; equation; two modular ... See more keywords
Independence between coefficients of two modular forms
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DOI: 10.1016/j.jnt.2019.01.005
Abstract: Let $k$ be an even integer and $S_k$ be the space of cusp forms of weight $k$ on $\SL_2(\ZZ)$. Let $S = \oplus_{k\in 2\ZZ} S_k$. For $f, g\in S$, we let $R(f, g) = \{… read more here.
Keywords: coefficients two; two modular; modular forms; independence coefficients ... See more keywords