Average root numbers in families of elliptic curves
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- by Ottavio G. Rizzo PDF
- Proc. Amer. Math. Soc. 127 (1999), 1597-1603 Request permission
Abstract:
We introduce a height measure on $\mathbf {Q}$ to count rational numbers. Through it, we prove a density result on the average value of the root numbers of families of twists of elliptic curves.References
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Additional Information
- Ottavio G. Rizzo
- Affiliation: Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912
- Address at time of publication: Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6
- Email: otto@math.brown.edu
- Received by editor(s): September 15, 1997
- Published electronically: February 18, 1999
- Additional Notes: This research was partially written while the author was supported by a grant of the Istituto Nazionale di Alta Matematica of Rome.
- Communicated by: David E. Rohrlich
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1597-1603
- MSC (1991): Primary 11G05; Secondary 11D25, 11C08, 28C10
- DOI: https://doi.org/10.1090/S0002-9939-99-05167-9
- MathSciNet review: 1641093