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arXiv · 1506.04638

On the order of vanishing of Stickelberger elements of Hilbert modular forms

Felix Bergunde·Lennart Gehrmann
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Abstract

We construct Stickelberger elements for Hilbert modular cusp forms of parallel weight 2 and use recent results of Dasgupta and Spiess to bound their order of vanishing from below. As a special case the vanishing part of Mazur and Tate's refined "Birch and Swinnerton-Dyer type"-conjecture for elliptic curves of rank 0 follows.

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Felix Bergunde, Lennart Gehrmann. 2015-06-15. On the order of vanishing of Stickelberger elements of Hilbert modular forms. https://doi.org/10.1112/plms.12004

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