Quartic residuacity and the quadratic character of certain quadratic irrationalities
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چکیده
We prove a general theorem that evaluates the Legendre symbol (A+B √ m p) under certain conditions on the integers A, B, m and the prime p. The evaluation is in terms of parameters appearing in a binary quadratic form representing p. The theorem has applications to quartic residuacity.
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تاریخ انتشار 2015