Whittaker Fourier type solutions to differential equations arising from string theory

2022/09/19 by Ksenia Fedosova, Fedosova, Ksenia, Kim Klinger-Logan +1
Mathematics · #Advanced Mathematical Identities #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2209.09319

openalex publication_date 2022/09/19 · openalex created_date 2022/09/23 · openalex updated_date 2026/07/28

Abstract

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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