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arxiv: 1310.1544 · v1 · pith:KV73B7C7new · submitted 2013-10-06 · 🧮 math.NT

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

classification 🧮 math.NT
keywords seriestwistedduke-imamoglu-ikedaexplicitkoecher-maassliftalgebraicityapplication
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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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