TY - JOUR
T1 - Non-vanishing of miyawaki type lift
AU - Kim, Henry H.
AU - Yamauchi, Takuya
N1 - Publisher Copyright:
Copyright © 2018, The Authors. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2018/7/18
Y1 - 2018/7/18
N2 - In this paper, we show the non-vanishing of the Miyawaki type lift for GSpin(2, 10) constructed in [19], by using the fact that the Fourier coefficient at the identity is closely related to the Rankin-Selberg L-function of two elliptic cusp forms. In the case of the original Miyawaki lift of Siegel cusp forms, we reduce the non-vanishing problem to that of the Rankin-Selberg convolution of two Siegel cusp forms.
AB - In this paper, we show the non-vanishing of the Miyawaki type lift for GSpin(2, 10) constructed in [19], by using the fact that the Fourier coefficient at the identity is closely related to the Rankin-Selberg L-function of two elliptic cusp forms. In the case of the original Miyawaki lift of Siegel cusp forms, we reduce the non-vanishing problem to that of the Rankin-Selberg convolution of two Siegel cusp forms.
KW - Langlands functoriality
KW - Miyawaki type lift
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M3 - Article
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