Integers of Biquadratic Fields
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Publication:5605311
DOI10.4153/CMB-1970-094-8zbMath0205.35401OpenAlexW2326693163MaRDI QIDQ5605311
Publication date: 1970
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cmb-1970-094-8
Related Items (33)
Chatelain's integral bases for triquadratic number fields ⋮ COMMON DIVISORS OF VALUES OF POLYNOMIALS AND COMMON FACTORS OF INDICES IN A NUMBER FIELD ⋮ Monogenic biquadratic fields ⋮ Solving the Diophantine equation \(y^2=x(x^2 - n^2)\) ⋮ Unnamed Item ⋮ Chatelain's integer bases for biquadratic fields ⋮ Elements with prime and small indices in bicyclic biquadratic number fields ⋮ Minimal index of bicyclic biquadratic number fields ⋮ Lifting problem for universal quadratic forms over totally real cubic number fields ⋮ Unit signature ranks in real biquadratic and multiquadratic number fields ⋮ The shapes of Galois quartic fields ⋮ Some studies on algebraic integers in \(\mathbb {Q} (i,\sqrt{3})\) by using coset diagram ⋮ On biquadratic fields that admit unit power integral basis ⋮ A quadratic form approach to construction A of lattices over cyclic algebras ⋮ Pólya groups of the imaginary bicyclic biquadratic number fields ⋮ On quadratic subextensions of ray class fields of quadratic fields mod \({\mathfrak p}\) ⋮ Cubic, quartic and sextic Pólya fields ⋮ A Characterization of Group Rings ⋮ Pólya fields and Pólya numbers ⋮ Number fields with large minimal index containing quadratic subfields ⋮ On the indices of biquadratic number fields having Galois group \(V_ 4\) ⋮ Higher order divisor problems ⋮ On iterated extensions of number fields arising from quadratic polynomial maps ⋮ Existence of relative integral basis over quadratic fields and Pólya property ⋮ Triviality of the 2-rank of the Hilbert kernel ⋮ There are no universal ternary quadratic forms over biquadratic fields ⋮ ON THE DIOPHANTINE EQUATION x2 + C = 2yn ⋮ Discriminants, \(\mathbb Z\)-integral bases and relative integral bases in case of multiquadratic number fields ⋮ Establishing the minimal index in a parametric family of bicyclic biquadratic fields ⋮ Pythagoras numbers of orders in biquadratic fields ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases) ⋮ Binäre quadratische Formen und rationale Zerlegungsgesetze. I. (Binary quadratic forms and rational laws of decomposition. I) ⋮ Initial stage of a \(\mathbb{Z}_ \ell\)-extension
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