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Let [Formula: see text] be a square-free positive integer, [Formula: see text] if [Formula: see text] and [Formula: see text] otherwise. Let [Formula: see text] and [Formula: see text] be… Click to show full abstract
Let [Formula: see text] be a square-free positive integer, [Formula: see text] if [Formula: see text] and [Formula: see text] otherwise. Let [Formula: see text] and [Formula: see text] be integers, where [Formula: see text] is a prime. Suppose that [Formula: see text] for some integer [Formula: see text]. Suppose that there exist integers [Formula: see text] and [Formula: see text] such that [Formula: see text]. We prove that if [Formula: see text] is [Formula: see text] or a prime for all integers [Formula: see text] with [Formula: see text], then the class number of the field [Formula: see text] is [Formula: see text].
Journal Title: International Journal of Number Theory
Year Published: 2019
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