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.
References
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References
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Additional Information
David E. Rohrlich
Affiliation:
Department of Mathematics and Statistics, Boston University, Boston, Massachusetts 02215
MR Author ID:
149885
Email:
rohrlich@math.bu.edu
Received by editor(s):
July 4, 2006
Published electronically:
February 7, 2008