An application of dihedral fields to representations of primes by binary quadratic forms
نویسندگان
چکیده
منابع مشابه
Rational Representations of Primes by Binary Quadratic Forms
Let q be a positive squarefree integer. A prime p is said to be q-admissible if the equation p = u2 + qv2 has rational solutions u, v. Equivalently, p is q-admissible if there is a positive integer k such that pk2 ∈ N , where N is the set of norms of algebraic integers in Q( √ −q). Let k(q) denote the smallest positive integer k such that pk2 ∈ N for all q-admissible primes p. It is shown that ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1984
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-44-4-407-413