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Whittaker Fourier type solutions to differential equations arising from string theory

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arxiv 2209.09319 v1 pith:SCGXFR7Z submitted 2022-09-19 math.NT math-phmath.MP

Ksenia Fedosova , Kim Klinger-Logan This is my paper · ORCID
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In this article, we find the full Fourier expansion for the generalized non-holomorphic Eisenstein series for certain values of parameters. We give a connection of the boundary condition on such Fourier series with convolution formulas on the divisor functions. Additionally, we discuss a possible relation with the differential Galois theory.

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  1. Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts

    hep-th 2025-01 conditional novelty 6.0 of 10

    A single theta-lift construction generates both two-loop modular graph functions and S-dual modular functions as rational combinations of generalised Eisenstein series with all cusp-form L-values cancelling.

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