Mathematics – Number Theory
Scientific paper
2006-04-05
Mathematics
Number Theory
Accepted to ANTS-VII
Scientific paper
The conjectures of Deligne, Be\u\i linson, and Bloch-Kato assert that there should be relations between the arithmetic of algebro-geometric objects and the special values of their $L$-functions. We make a numerical study for symmetric power $L$-functions of elliptic curves, obtaining data about the validity of their functional equations, frequency of vanishing of central values, and divisibility of Bloch-Kato quotients.
Martin Phil
Watkins Michael M.
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