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Start Over Author "Milovic, Djordjo Z." Publisher world scientific publishing company
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1. On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq).

Author

Milovic, Djordjo Z.

Subjects
*CLASS groups (Mathematics), *PRIME numbers, *QUADRATIC equations, *INTEGERS, *OSCILLATIONS
Abstract

Let d ∈ { − 4 , − 8 , 8 }. We study the 8 -part of the narrow class group in thin families of quadratic number fields of the form ℚ (d p q) , where p ≡ q ≡ 1 mod 4 are prime numbers, and we prove new lower bounds for the proportion of narrow class groups in these families that have an element of order 8. In the course of our proof, we prove a general double-oscillation estimate for the quadratic residue symbol in quadratic number fields. [ABSTRACT FROM AUTHOR]

Published
2018
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