The Number of Fields Generated by the Square Root of Values of a Given Polynomial-Reference-Cited by-同舟云学术

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The Number of Fields Generated by the Square Root of Values of a Given Polynomial

Published:2003-03-01 Issue:1 Volume:46 Page:71-79
ISSN:0008-4395
Container-title:Canadian Mathematical Bulletin
language:en
Short-container-title:Can. math. bull.

Author:

Cutter Pamela,Granville Andrew,Tucker Thomas J.

Abstract

AbstractThe abc-conjecture is applied to various questions involving the number of distinct fields , as we vary over integers n.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ON QUADRATIC FIELDS GENERATED BY POLYNOMIALS;Bulletin of the Australian Mathematical Society;2023-06-29

2. Elliptic curves in isogeny classes;Journal of Number Theory;2018-10

3. THE abc CONJECTURE IMPLIES THE WEAK DIVERSITY CONJECTURE;Albanian Journal of Mathematics;2018-06-15

4. On Coincidences Among Quadratic Fields Generated by the Shanks Sequence;The Quarterly Journal of Mathematics;2016-12-19

5. On the Average Number of Square-Free Values of Polynomials;Canadian Mathematical Bulletin;2013-12-01

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