Miyawaki’s F12 spinor L-function conjecture

Bernhard Heim

doi:10.1215/21562261-1728875

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Home > Journals > Kyoto J. Math. > Volume 52 > Issue 4 > Article

Winter 2012 Miyawaki’s

{F}_{12}

spinor

L

-function conjecture

Bernhard Heim

Kyoto J. Math. 52(4): 817-828 (Winter 2012). DOI: 10.1215/21562261-1728875

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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. We work with the Fourier–Jacobi model of Ikeda lifts discovered by Yamazaki and Hayashida.

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Bernhard Heim. "Miyawaki’s ${F}_{12}$ spinor $L$ -function conjecture." Kyoto J. Math. 52 (4) 817 - 828, Winter 2012. https://doi.org/10.1215/21562261-1728875