Abstract
We prove consequences of functional equations of p-adic L-functions for elliptic curves at supersingular primes p. The results include a relationship between the leading and sub-leading terms (for which we use ideas of Wuthrich and Bianchi), a parity result of orders of vanishing, and invariance of Iwasaswa invariants under conjugate twists of the p-adic L-functions.
Original language | English (US) |
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Pages (from-to) | 203-208 |
Number of pages | 6 |
Journal | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg |
Volume | 89 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1 2019 |
Keywords
- Birch and Swinnerton-Dyer conjecture
- Functional equation
- Iwasawa invariants
- Supersingular reduction
- p-adic L-function
ASJC Scopus subject areas
- General Mathematics