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Displaying 81 – 100 of 182

On integral representations by totally positive ternary quadratic forms

Elise Björkholdt (2000)

Journal de théorie des nombres de Bordeaux

Let $K$ be a totally real algebraic number field whose ring of integers $R$ is a principal ideal domain. Let $f (x_{1}, x_{2}, x_{3})$ be a totally definite ternary quadratic form with coefficients in $R$ . We shall study representations of totally positive elements $N \in R$ by $f$ . We prove a quantitative formula relating the number of representations of $N$ by different classes in the genus of $f$ to the class number of $R [\sqrt{- c_{f} N}]$ , where $c_{f} \in R$ is a constant depending only on $f$ . We give an algebraic proof of a classical result of H. Maass on representations...

On integral Witt equivalence of algebraic number fields

Alfred Czogała (1996)

Acta Mathematica et Informatica Universitatis Ostraviensis

On numbers with a unique representation by a binary quadratic form

Mariusz Skałba (1993)

Acta Arithmetica

On Quadratic forms isotropic over the function field of a comic.

Markus Rost (1990)

Mathematische Annalen

On reciprocity equivalence of quadratic number fields

Alfred Czogała (1991)

Acta Arithmetica

On some invariants for systems of quadratic forms over the integers.

Jorge Morales (1992)

Journal für die reine und angewandte Mathematik

On the arithmetic of certain intersections of two quadrics.

Per Salberger (1989)

Journal für die reine und angewandte Mathematik

On the Genus of Norm Forms.

Werner Meyer, Robert Perlis (1979)

Mathematische Annalen

On the Milnor exact sequence for global function fields

Marzena Ciemała (2000)

Acta Mathematica et Informatica Universitatis Ostraviensis

On the number of perfect binary quadratic forms.

Aicardi, Francesca (2004)

Experimental Mathematics

On the Pellian equation and the class number of indefinite binary quadratic forms.

Christopher Hooley (1984)

Journal für die reine und angewandte Mathematik

On the ramification set of a positive quadratic form over an algebraic number field

Martin Epkenhans (1994)

Acta Arithmetica

On the size of zeros of quadratic forms over rational function fields.

Alexander Prestel (1987)

Journal für die reine und angewandte Mathematik

On the sum of two integral squares in quadratic fields ℚ(√±p)

Dasheng Wei (2011)

Acta Arithmetica

On Trace Forms of Algebraic Number Fields.

Winfried Scharlau (1987)

Mathematische Zeitschrift

On traces of the Brandt-Eichler matrices

Juliusz Brzezinski (1998)

Journal de théorie des nombres de Bordeaux

We compute the numbers of locally principal ideals with given norm in a class of definite quaternion orders and the traces of the Brandt-Eichler matrices corresponding to these orders. As an application, we compute the numbers of representations of algebraic integers by the norm forms of definite quaternion orders with class number one as well as we obtain class number relations for some CM-fields.

Currently displaying 81 – 100 of 182

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Displaying 81 – 100 of 182

On integral representations by totally positive ternary quadratic forms

On integral Witt equivalence of algebraic number fields

On numbers with a unique representation by a binary quadratic form

On Quadratic forms isotropic over the function field of a comic.

On reciprocity equivalence of quadratic number fields

On some invariants for systems of quadratic forms over the integers.

On the arithmetic of certain intersections of two quadrics.

On the Genus of Norm Forms.

On the Milnor exact sequence for global function fields

On the number of perfect binary quadratic forms.

On the Pellian equation and the class number of indefinite binary quadratic forms.

On the ramification set of a positive quadratic form over an algebraic number field

On the size of zeros of quadratic forms over rational function fields.

On the sum of two integral squares in quadratic fields ℚ(√±p)

On Trace Forms of Algebraic Number Fields.

On traces of the Brandt-Eichler matrices

On universal binary Hermitian forms.

One-class spinor genera of positive quadratic forms

Orbit closures of generic unipotent flows on homogeneous spaces of SL (3, IR).

Original title unknown

Currently displaying 81 – 100 of 182