Equivariant primitives of Eisenstein series for principal congruence subgroups are shown to equal the corresponding non-holomorphic Eisenstein series, including new weight-two cases expressed via single-valued logarithms.
Modular and holomorphic graph function from superstring amplitudes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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 known asymptotic behaviour of modular graph functions and we refine the formula for the asymptotic behaviour of holomorphic graph functions. Moreover, we give new evidence of a conjecture which relates these two asymptotic expansions.
citation-role summary
background 1
citation-polarity summary
fields
math.NT 1years
2025 1verdicts
ACCEPT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Equivariant primitives of Eisenstein series for congruence subgroups
Equivariant primitives of Eisenstein series for principal congruence subgroups are shown to equal the corresponding non-holomorphic Eisenstein series, including new weight-two cases expressed via single-valued logarithms.