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On trivial p-adic zeroes for elliptic curves over Kummer extensions

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.
Type
Journal Article
Type of thesis
Series
Citation
Delbourgo, D. (2015). On trivial p-adic zeroes for elliptic curves over Kummer extensions. New Zealand Journal of Mathematics, 45, 33–38.
Date
2015
Publisher
NZ Mathematical Society
Degree
Supervisors
Rights
This article has been published in New Zealand Journal of Mathematics. Used with permission.