On trivial p-adic zeroes for elliptic curves over Kummer extensions
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Export citationDelbourgo, D. (2015). On trivial p-adic zeroes for elliptic curves over Kummer extensions. New Zealand Journal of Mathematics, 45, 33–38.
Permanent Research Commons link: https://hdl.handle.net/10289/9461
Abstract
We prove the exceptional zero conjecture is true for semistable elliptic curves E/Q over number fields of the form F(e²ⁿⁱ⁄qⁿ, ∆₁¹⁄qⁿ , . . . , ∆₁¹⁄ⁿd) where F is a totally real field, and the split multiplicative prime p ≠ 2 is inert in F(e²ⁿⁱ⁄qⁿ) ∩ R.
Date
2015Type
Publisher
NZ Mathematical Society
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This article has been published in New Zealand Journal of Mathematics. Used with permission.