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arXiv · 1903.02430

On the elliptic Stark conjecture in higher weight

Francesca Gatti·Xavier Guitart
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Abstract

We study the special values of the triple product $p$-adic $L$-function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose conjectural formulas for these values that can be seen as extending the Elliptic Stark Conjecture, and we provide theoretical evidence for them by proving some particular cases.

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Francesca Gatti, Xavier Guitart. 2019-03-06. On the elliptic Stark conjecture in higher weight. https://arxiv.org/abs/1903.02430

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