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
DOI: https://doi.org/10.1090/S1056-3911-08-00462-1
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
Email: rohrlich@math.bu.edu

DOI: https://doi.org/10.1090/S1056-3911-08-00462-1
Received by editor(s): July 4, 2006
Published electronically: February 7, 2008

Journal of Algebraic Geometry
The Journal of Algebraic Geometry
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