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Harmonic Eisenstein Series of Weight One

2017/01/31 by Yingkun Li, Li, Yingkun
Mathematics · #11F12 #11F30 #11F37 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1701.08940

openalex publication_date 2017/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we will construct a harmonic Eisenstein series of weight one, whose image under the ξ-operator is a weight one Eisenstein series studied by Hecke.

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