Explicit formulas for the twisted Koecher-Maass series of the Duke-Imamoglu-Ikeda lift and their applications

2013/10/06 by Hidenori Katsurada, Katsurada, Hidenori
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1310.1544

openalex publication_date 2013/10/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give an explicit formula for the twisted Koecher-Maass series of the Duke-Imamoglu-Ikeda lift. As an application we prove a certain algebraicity result for the values of twisted Rankin-Selberg series at integers of half-integral weight modular forms, which was not treated by Shimura.

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