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  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 | References | Additional Information

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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Additional Information

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

PII: S 1056-3911(08)00462-1
Received by editor(s): July 4, 2006
Published electronically: February 7, 2008

Journal of Algebraic Geometry
The Journal of Algebraic Geometry
is sponsored by the Department of Mathematical Sciences
of Tsinghua University
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Online ISSN 1534-7486; Print ISSN 1056-3911
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