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A Note on the Existence of Certain Infinite Families of Imaginary Quadratic Fields

✍ Scribed by Dongho Byeon

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
93 KB
Volume
97
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let Do0 be the fundamental discriminant of an imaginary quadratic field, and hðDÞ its class number. In this paper, we show that for any prime p > 3 and e ¼ À1; 0; or 1, ] ÀX oDo0 j hðDÞc0 ðmod pÞ and D p ¼ e 4 p ffiffiffiffi X p log X :

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