Proceedings of the American Mathematical Society

Author(s): Ottavio G. Rizzo
Journal: Proc. Amer. Math. Soc. 127 (1999), 1597-1603.
MSC (1991): Primary 11G05; Secondary 11D25, 11C08, 28C10
Posted: February 18, 1999
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 11G05, 11D25, 11C08, 28C10

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

DOI: 10.1090/S0002-9939-99-05167-9
PII: S 0002-9939(99)05167-9
Received by editor(s): September 15, 1997
Posted: 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 of article: Copyright 1999, American Mathematical Society

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