Miyawaki's $F_{12}$ Spinor L-function Conjecture

Abstract

In this paper we prove the Miyawaki conjecture related to the spinor $L$--function of a Siegel cusp form of weight 12 and degree 3 as a special example of results related to Miyawaki lifts of odd degree.

13 pages

Cited by in corpus (7)

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• Congruence between Duke-Imamoglu-Ikeda lifts and non-Duke-Imamoglu-Ikeda lifts
• Using Katsurada's Determination of the Eisenstein Series to Compute Siegel Eigenforms
• On special values of spinor L-functions of Siegel cusp eigenforms of genus 3
• Towards Functoriality Of Spinor L-functions
• On the spinor L-function of Miyawaki-Ikeda lifts
• On generalized Maass relations for the Miyawaki-Ikeda lift