A note on zeros of $L$-series of elliptic curves

Details A note on zeros of $L$-series of elliptic curves A note on zeros of $L$-series of elliptic curves

2006-10-03

arxiv.org/abs/math/0610119v1

Mathematics

Number Theory

Scientific paper

In this note we study an analogy between a positive definite quadratic form
for elliptic curves over finite fields and a positive definite quadratic form
for elliptic curves over the rational number field. A question is posed of
which an affirmative answer would imply the analogue of the Riemann hypothesis
for elliptic curves over the rational number field.

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