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ELLIPTIC CURVES AND $\boldsymbol {p}$ -ADIC ELLIPTIC TRANSCENDENCE.
- Source :
-
Bulletin of the Australian Mathematical Society . Feb2022, Vol. 105 Issue 1, p31-36. 6p. - Publication Year :
- 2022
-
Abstract
- We prove a necessary and sufficient condition for isogenous elliptic curves based on the algebraic dependence of p-adic elliptic functions. As a consequence, we give a short proof of the p-adic analogue of Schneider's theorem on the linear independence of p-adic elliptic logarithms of algebraic points on two nonisogenous elliptic curves defined over the field of algebraic numbers. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 105
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 154711599
- Full Text :
- https://doi.org/10.1017/S0004972721000320