Unramified Quadratic Extensions of Real
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A Srivastav; S Venkataraman
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Article
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1997
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Elsevier Science
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English
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Let K=Q(-m) be a real quadratic number field. In this article, we find a necessary and sufficient condition for K to admit an unramified quadratic extension with a normal integral basis distinct from K(-&1), provided that the prime 2 splits neither in KรQ nor in Q(-&m)รQ, in terms of a congruence sa