Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Scarcity and abundance of trivial zeros in division towers

Author: David E. Rohrlich
Journal: J. Algebraic Geom. 17 (2008), 643-675
Published electronically: February 7, 2008
MathSciNet review: 2424923
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Abstract: Explicit formulas and asymptotic estimates are derived for twisted root numbers of elliptic curves in division towers. The key assumption on the elliptic curves considered is that the image of the Galois representation afforded by the first layer of the division tower is contained in a Borel subgroup. In [Math. Research Letters 13 (2006), 359-376], by contrast, the Galois representation was assumed to be surjective.

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David E. Rohrlich
Affiliation: Department of Mathematics and Statistics, Boston University, Boston, Massachusetts 02215

Received by editor(s): July 4, 2006
Published electronically: February 7, 2008

American Mathematical Society