Definite binary quadratic forms with class number one
نویسندگان
چکیده
منابع مشابه
Lectures # 7: The Class Number Formula For Positive Definite Binary Quadratic Forms
Notice that this means if we change variables ( x′ y′ ) = v′ = Av (the entries of A are integers) then Q(x′, y′) = (Av) QAv = v (A QA)v. Therefore, if Q represents a number then so does A QA. In particular, if A has an inverse with integer entries, then we get that Q and A QA represent all the same numbers. Clearly if A has an inverse B with integer entries, then det A detB = det AB = 1, thus d...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1980
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-36-3-271-272