# Mathematical Research Letters

## Volume 15 (2008)

### The algebraic functional equation of an elliptic curve at supersingular primes

Pages: 83 – 94

DOI: https://dx.doi.org/10.4310/MRL.2008.v15.n1.a8

#### Author

Byoung Du (B. D. ) Kim (Northwestern University)

#### Abstract

Since the analytic functional equation holds for the $\pm$-$p$-adic $L$-functions constructed in \cite{pol}, the algebraic functional equation for the $\pm$-Selmer groups is expected to hold as well. In this paper, we show it following the ideas of \cite{gre1} and \cite{kim}.

Published 1 January 2008
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