Some consequences of unique factorization in imaginary quadratic number fields of class number 1
Date
1998
Authors
Bannar-Martin, Mark William
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Abstract
For square-free m, the imaginary quadratic number fields Q/square root m of class number 1 occur when m = -1 , -2, -3, -7, -11, -19 -43, -67, -163. The unique factorization of algebraic integers in these number fields allows an elementary derivation of nine series involving ϖ and of nine algebraic identities. Full details of the calculation of these series and identities are given.