Quadratic polynomials represented by norm forms
نویسندگان
چکیده
منابع مشابه
Quadratic Polynomials Represented by Norm Forms
— Let P (t) ∈ Q[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of Q containing the roots of P (t). Let NK/Q(x) be a full norm form for the extension K/Q. We show that the variety P (t) = NK/Q(x) 6= 0 satisfies the Hasse principle and weak approximation. The proof uses analytic methods.
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2012
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-012-0168-5