A note on zeros of L-series of elliptic curves

2006/10/03 by Li, Xian-Jin
#11M26 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0610119

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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