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Average Root Numbers for a Nonconstant Family of Elliptic Curves

Published online by Cambridge University Press:  04 December 2007

Ottavio G. Rizzo
Ottavio G. Rizzo
Affiliation:
Dipartimento di matematica, Università di Milano, Via Saldini 50, 20133 Milan, Italy. e-mail: ottavio.rizzo@mat.unimi.it
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Abstract

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We give some examples of families of elliptic curves with nonconstant j-invariant where the parity of the (analytic) rank is not equidistributed among the fibres.

Keywords

elliptic curvesroot numbers.

Information

Type
Research Article
Information
Compositio Mathematica , Volume 136 , Issue 1 , March 2003 , pp. 1 - 23
Copyright
© 2003 Kluwer Academic Publishers