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

TL;DR

This paper proves Miyawaki's conjecture concerning the spinor L-function of a specific Siegel cusp form, advancing understanding of Miyawaki lifts in the context of automorphic forms.

Contribution

It establishes the Miyawaki conjecture for the spinor L-function of a weight 12, degree 3 Siegel cusp form, providing a key example of Miyawaki lift results.

Findings

Proof of Miyawaki's conjecture for the specified case

Validation of Miyawaki lifts in odd degree scenarios

Enhanced understanding of spinor L-functions in automorphic forms

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.