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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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