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
Average root numbers for a nonconstant family of elliptic curves / Ottavio Rizzo. - In: COMPOSITIO MATHEMATICA. - ISSN 0010-437X. - 136:1(2003), pp. 1-23.
Average root numbers for a nonconstant family of elliptic curves
Ottavio Rizzo
2003
Abstract
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
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