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

Xian-Jin Li

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

Xian-Jin Li

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Abstract

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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Xian-Jin Li. 2006-10-03. A note on zeros of $L$-series of elliptic curves. https://arxiv.org/abs/math/0610119

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