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A Distribution Relation on Elliptic Curves
Author(s) -
Jarvis Frazer
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609399006748
Subject(s) - mathematics , identity (music) , mathematics subject classification , conjecture , elliptic curve , pure mathematics , distribution (mathematics) , relation (database) , elementary proof , subject (documents) , elliptic function , algebra over a field , calculus (dental) , mathematical analysis , database , computer science , medicine , physics , dentistry , library science , acoustics
In this paper, we give an elementary proof of a curious identity of elliptic functions. It is very similar to a beautiful proof given by Coates of a different identity. The result was strongly motivated by Wildeshaus' generalisation of Zagier's conjecture. 1991 Mathematics Subject Classification 11G16, 33E05.